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Finding the Fourth Proportional to 337.54, 506.00 and 154.75

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Solution

The fourth proportional to 337.54, 506.00 and 154.75 is: 231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.54 : 506.00 = 154.75 : x
  2. Step 2: Convert to fraction form
    337.54/506.00 = 154.75/x
  3. Step 3: Cross multiply
    337.54x = 506.00 × 154.75
  4. Step 4: Simplify right side
    337.54x = 78,302.73
  5. Step 5: Solve for x
    x = 78,302.73/337.54
  6. Step 6: Final answer
    x = 231.98

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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.