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BMI, or Body Mass Index, is a measure of body fat based on height and weight, with a high BMI increasing the risk of certain diseases. It is calculated by dividing weight in kilograms by height in meters squared. For example, to convert 175 pounds to kilograms, multiply by 0.4536, resulting in 79.38 kg. To convert height from feet and inches to meters, first convert to inches (5 feet 9 inches = 69 inches) and then to meters (69 inches × 0.0254 = 1.75 m). Using the formula, one would calculate BMI as 79.38 kg divided by (1.75 m)², yielding a BMI of 25.8. The video also provides a conversion formula for common U.S. metrics of pounds and inches.