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Finding the Fourth Proportional to 234.33, 323.37 and 129.42

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Solution

The fourth proportional to 234.33, 323.37 and 129.42 is: 178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.33 : 323.37 = 129.42 : x
  2. Step 2: Convert to fraction form
    234.33/323.37 = 129.42/x
  3. Step 3: Cross multiply
    234.33x = 323.37 × 129.42
  4. Step 4: Simplify right side
    234.33x = 41,848.93
  5. Step 5: Solve for x
    x = 41,848.93/234.33
  6. Step 6: Final answer
    x = 178.59

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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.