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Finding the Fourth Proportional to 257.28, 385.54 and 135.17

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Solution

The fourth proportional to 257.28, 385.54 and 135.17 is: 202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.28 : 385.54 = 135.17 : x
  2. Step 2: Convert to fraction form
    257.28/385.54 = 135.17/x
  3. Step 3: Cross multiply
    257.28x = 385.54 × 135.17
  4. Step 4: Simplify right side
    257.28x = 52,115.55
  5. Step 5: Solve for x
    x = 52,115.55/257.28
  6. Step 6: Final answer
    x = 202.56

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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.