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Finding the Fourth Proportional to 234.05, 323.00 and 129.14

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Solution

The fourth proportional to 234.05, 323.00 and 129.14 is: 178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.05 : 323.00 = 129.14 : x
  2. Step 2: Convert to fraction form
    234.05/323.00 = 129.14/x
  3. Step 3: Cross multiply
    234.05x = 323.00 × 129.14
  4. Step 4: Simplify right side
    234.05x = 41,711.57
  5. Step 5: Solve for x
    x = 41,711.57/234.05
  6. Step 6: Final answer
    x = 178.22

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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.