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Finding the Fourth Proportional to 257.38, 385.62 and 247.90

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Solution

The fourth proportional to 257.38, 385.62 and 247.90 is: 371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.38 : 385.62 = 247.90 : x
  2. Step 2: Convert to fraction form
    257.38/385.62 = 247.90/x
  3. Step 3: Cross multiply
    257.38x = 385.62 × 247.90
  4. Step 4: Simplify right side
    257.38x = 95,595.20
  5. Step 5: Solve for x
    x = 95,595.20/257.38
  6. Step 6: Final answer
    x = 371.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.