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Finding the Fourth Proportional to 487.59, 731.37 and 158.52

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Solution

The fourth proportional to 487.59, 731.37 and 158.52 is: 237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.59 : 731.37 = 158.52 : x
  2. Step 2: Convert to fraction form
    487.59/731.37 = 158.52/x
  3. Step 3: Cross multiply
    487.59x = 731.37 × 158.52
  4. Step 4: Simplify right side
    487.59x = 115,936.77
  5. Step 5: Solve for x
    x = 115,936.77/487.59
  6. Step 6: Final answer
    x = 237.78

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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.