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Finding the Fourth Proportional to 234.48, 323.15 and 168.87

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Solution

The fourth proportional to 234.48, 323.15 and 168.87 is: 232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.48 : 323.15 = 168.87 : x
  2. Step 2: Convert to fraction form
    234.48/323.15 = 168.87/x
  3. Step 3: Cross multiply
    234.48x = 323.15 × 168.87
  4. Step 4: Simplify right side
    234.48x = 54,569.50
  5. Step 5: Solve for x
    x = 54,569.50/234.48
  6. Step 6: Final answer
    x = 232.73

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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.