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Finding the Fourth Proportional to 257.24, 385.82 and 135.52

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Solution

The fourth proportional to 257.24, 385.82 and 135.52 is: 203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.24 : 385.82 = 135.52 : x
  2. Step 2: Convert to fraction form
    257.24/385.82 = 135.52/x
  3. Step 3: Cross multiply
    257.24x = 385.82 × 135.52
  4. Step 4: Simplify right side
    257.24x = 52,286.33
  5. Step 5: Solve for x
    x = 52,286.33/257.24
  6. Step 6: Final answer
    x = 203.26

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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.