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Finding the Fourth Proportional to 257.24, 385.80 and 135.44

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Solution

The fourth proportional to 257.24, 385.80 and 135.44 is: 203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.24 : 385.80 = 135.44 : x
  2. Step 2: Convert to fraction form
    257.24/385.80 = 135.44/x
  3. Step 3: Cross multiply
    257.24x = 385.80 × 135.44
  4. Step 4: Simplify right side
    257.24x = 52,252.75
  5. Step 5: Solve for x
    x = 52,252.75/257.24
  6. Step 6: Final answer
    x = 203.13

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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.