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Finding the Fourth Proportional to 234.29, 323.17 and 168.88

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Solution

The fourth proportional to 234.29, 323.17 and 168.88 is: 232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.29 : 323.17 = 168.88 : x
  2. Step 2: Convert to fraction form
    234.29/323.17 = 168.88/x
  3. Step 3: Cross multiply
    234.29x = 323.17 × 168.88
  4. Step 4: Simplify right side
    234.29x = 54,576.95
  5. Step 5: Solve for x
    x = 54,576.95/234.29
  6. Step 6: Final answer
    x = 232.95

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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.