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Finding the Fourth Proportional to 337.60, 506.56 and 154.97

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Solution

The fourth proportional to 337.60, 506.56 and 154.97 is: 232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.60 : 506.56 = 154.97 : x
  2. Step 2: Convert to fraction form
    337.60/506.56 = 154.97/x
  3. Step 3: Cross multiply
    337.60x = 506.56 × 154.97
  4. Step 4: Simplify right side
    337.60x = 78,501.60
  5. Step 5: Solve for x
    x = 78,501.60/337.60
  6. Step 6: Final answer
    x = 232.53

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