Ideal Body Weight (IBW) is an estimated weight range considered healthy for an individual based on their height and gender. It's used as a general guideline in medical and fitness contexts to assess whether a person is at a weight that minimizes health risks.

The Robinson formula is one of several methods used to estimate ideal body weight:

For males: \(IBW = 52 \text{ kg} + 1.9 \text{ kg} \times (\text{height in inches} - 60)\)

For females: \(IBW = 49 \text{ kg} + 1.7 \text{ kg} \times (\text{height in inches} - 60)\)

Where:

- \(IBW\) = Ideal Body Weight in kilograms
- \(\text{height in inches}\) = Individual's height converted to inches

- Convert height to inches if necessary: \[\text{Height in inches} = \text{Height in cm} \div 2.54\]
- Apply the Robinson formula based on gender:
- For males: \(IBW = 52 + 1.9 \times (\text{height in inches} - 60)\)
- For females: \(IBW = 49 + 1.7 \times (\text{height in inches} - 60)\)

- Calculate the result to get the ideal body weight in kilograms.

Let's calculate the ideal body weight for a male who is 180 cm tall:

- \(\text{Height in inches} = 180 \text{ cm} \div 2.54 = 70.87 \text{ inches}\)
- \(IBW = 52 + 1.9 \times (70.87 - 60)\)
- \(IBW = 52 + 1.9 \times 10.87 = 72.65 \text{ kg}\)

The green portion of the bar represents the calculated IBW (72.65 kg) relative to 150 kg.

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