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Finding the Fourth Proportional to 168.92, 232.29 and 163.80

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Solution

The fourth proportional to 168.92, 232.29 and 163.80 is: 225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.92 : 232.29 = 163.80 : x
  2. Step 2: Convert to fraction form
    168.92/232.29 = 163.80/x
  3. Step 3: Cross multiply
    168.92x = 232.29 × 163.80
  4. Step 4: Simplify right side
    168.92x = 38,049.10
  5. Step 5: Solve for x
    x = 38,049.10/168.92
  6. Step 6: Final answer
    x = 225.25

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Why These Related Problems?

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