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Finding the Fourth Proportional to 171.92, 257.36 and 111.11

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Solution

The fourth proportional to 171.92, 257.36 and 111.11 is: 166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.92 : 257.36 = 111.11 : x
  2. Step 2: Convert to fraction form
    171.92/257.36 = 111.11/x
  3. Step 3: Cross multiply
    171.92x = 257.36 × 111.11
  4. Step 4: Simplify right side
    171.92x = 28,593.43
  5. Step 5: Solve for x
    x = 28,593.43/171.92
  6. Step 6: Final answer
    x = 166.32

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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.