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Finding the Fourth Proportional to 171.48, 257.11 and 63.22

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Solution

The fourth proportional to 171.48, 257.11 and 63.22 is: 94.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.48 : 257.11 = 63.22 : x
  2. Step 2: Convert to fraction form
    171.48/257.11 = 63.22/x
  3. Step 3: Cross multiply
    171.48x = 257.11 × 63.22
  4. Step 4: Simplify right side
    171.48x = 16,254.49
  5. Step 5: Solve for x
    x = 16,254.49/171.48
  6. Step 6: Final answer
    x = 94.79

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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.