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Finding the Fourth Proportional to 516.62, 775.14 and 187.60

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Solution

The fourth proportional to 516.62, 775.14 and 187.60 is: 281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.62 : 775.14 = 187.60 : x
  2. Step 2: Convert to fraction form
    516.62/775.14 = 187.60/x
  3. Step 3: Cross multiply
    516.62x = 775.14 × 187.60
  4. Step 4: Simplify right side
    516.62x = 145,416.26
  5. Step 5: Solve for x
    x = 145,416.26/516.62
  6. Step 6: Final answer
    x = 281.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.