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Finding the Fourth Proportional to 240.72, 332.25 and 204.15

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Solution

The fourth proportional to 240.72, 332.25 and 204.15 is: 281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.72 : 332.25 = 204.15 : x
  2. Step 2: Convert to fraction form
    240.72/332.25 = 204.15/x
  3. Step 3: Cross multiply
    240.72x = 332.25 × 204.15
  4. Step 4: Simplify right side
    240.72x = 67,830.47
  5. Step 5: Solve for x
    x = 67,830.47/240.72
  6. Step 6: Final answer
    x = 281.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.