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Finding the Fourth Proportional to 243.38, 363.07 and 225.92

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Solution

The fourth proportional to 243.38, 363.07 and 225.92 is: 337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.38 : 363.07 = 225.92 : x
  2. Step 2: Convert to fraction form
    243.38/363.07 = 225.92/x
  3. Step 3: Cross multiply
    243.38x = 363.07 × 225.92
  4. Step 4: Simplify right side
    243.38x = 82,024.77
  5. Step 5: Solve for x
    x = 82,024.77/243.38
  6. Step 6: Final answer
    x = 337.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.