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Finding the Fourth Proportional to 171.38, 257.03 and 63.25

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Solution

The fourth proportional to 171.38, 257.03 and 63.25 is: 94.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.38 : 257.03 = 63.25 : x
  2. Step 2: Convert to fraction form
    171.38/257.03 = 63.25/x
  3. Step 3: Cross multiply
    171.38x = 257.03 × 63.25
  4. Step 4: Simplify right side
    171.38x = 16,255.55
  5. Step 5: Solve for x
    x = 16,255.55/171.38
  6. Step 6: Final answer
    x = 94.85

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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.