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Finding the Fourth Proportional to 168.27, 232.16 and 149.91

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Solution

The fourth proportional to 168.27, 232.16 and 149.91 is: 206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.27 : 232.16 = 149.91 : x
  2. Step 2: Convert to fraction form
    168.27/232.16 = 149.91/x
  3. Step 3: Cross multiply
    168.27x = 232.16 × 149.91
  4. Step 4: Simplify right side
    168.27x = 34,803.11
  5. Step 5: Solve for x
    x = 34,803.11/168.27
  6. Step 6: Final answer
    x = 206.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.