College

Convert the following measurements between the imperial and metric systems:

1. Convert feet to meters.

2. Convert 1989 cm to inches.

3. Convert 156 pounds to kilograms.

Answer :

Below is a detailed step-by-step solution to the conversion problems.

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1) Converting feet to meters

We start with a length of 4 feet. The conversion factor between feet and meters is
$$1 \text{ foot} = 0.3048 \text{ meters}.$$

Thus, the number of meters is calculated by multiplying the number of feet by the conversion factor:
$$4 \text{ feet} \times 0.3048 \text{ m/foot} = 1.2192 \text{ meters}.$$

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2) Converting centimeters to inches

Next, we need to convert 1989 centimeters to inches. The conversion factor used is
$$1 \text{ inch} = 2.54 \text{ centimeters}.$$

To find the length in inches, we divide the number of centimeters by the conversion factor:
$$\frac{1989 \text{ cm}}{2.54 \text{ cm/inch}} \approx 783.0708661417323 \text{ inches}.$$

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3) Converting pounds to kilograms

Finally, we convert 156 pounds to kilograms. The conversion factor for pounds to kilograms is
$$1 \text{ pound} = 0.45359237 \text{ kilograms}.$$

Multiply the weight in pounds by this conversion factor to obtain the weight in kilograms:
$$156 \text{ lb} \times 0.45359237 \text{ kg/lb} \approx 70.76040972 \text{ kilograms}.$$

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Summary of Results

- 4 feet is equivalent to $1.2192$ meters.
- 1989 centimeters is approximately $783.0708661417323$ inches.
- 156 pounds is approximately $70.76040972$ kilograms.

These are the final conversion results.