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Finding the Fourth Proportional to 172.13, 257.85 and 111.11

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Solution

The fourth proportional to 172.13, 257.85 and 111.11 is: 166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 257.85 = 111.11 : x
  2. Step 2: Convert to fraction form
    172.13/257.85 = 111.11/x
  3. Step 3: Cross multiply
    172.13x = 257.85 × 111.11
  4. Step 4: Simplify right side
    172.13x = 28,648.42
  5. Step 5: Solve for x
    x = 28,648.42/172.13
  6. Step 6: Final answer
    x = 166.44

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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.