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Finding the Fourth Proportional to 337.59, 506.13 and 155.13

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Solution

The fourth proportional to 337.59, 506.13 and 155.13 is: 232.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.59 : 506.13 = 155.13 : x
  2. Step 2: Convert to fraction form
    337.59/506.13 = 155.13/x
  3. Step 3: Cross multiply
    337.59x = 506.13 × 155.13
  4. Step 4: Simplify right side
    337.59x = 78,515.95
  5. Step 5: Solve for x
    x = 78,515.95/337.59
  6. Step 6: Final answer
    x = 232.58

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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.