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Finding the Fourth Proportional to 337.62, 506.77 and 155.14

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Solution

The fourth proportional to 337.62, 506.77 and 155.14 is: 232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.62 : 506.77 = 155.14 : x
  2. Step 2: Convert to fraction form
    337.62/506.77 = 155.14/x
  3. Step 3: Cross multiply
    337.62x = 506.77 × 155.14
  4. Step 4: Simplify right side
    337.62x = 78,620.29
  5. Step 5: Solve for x
    x = 78,620.29/337.62
  6. Step 6: Final answer
    x = 232.87

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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.