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Finding the Fourth Proportional to 372.52, 557.43 and 225.73

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Solution

The fourth proportional to 372.52, 557.43 and 225.73 is: 337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.52 : 557.43 = 225.73 : x
  2. Step 2: Convert to fraction form
    372.52/557.43 = 225.73/x
  3. Step 3: Cross multiply
    372.52x = 557.43 × 225.73
  4. Step 4: Simplify right side
    372.52x = 125,828.67
  5. Step 5: Solve for x
    x = 125,828.67/372.52
  6. Step 6: Final answer
    x = 337.78

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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.