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Finding the Fourth Proportional to 234.32, 323.50 and 141.09

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Solution

The fourth proportional to 234.32, 323.50 and 141.09 is: 194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.32 : 323.50 = 141.09 : x
  2. Step 2: Convert to fraction form
    234.32/323.50 = 141.09/x
  3. Step 3: Cross multiply
    234.32x = 323.50 × 141.09
  4. Step 4: Simplify right side
    234.32x = 45,641.91
  5. Step 5: Solve for x
    x = 45,641.91/234.32
  6. Step 6: Final answer
    x = 194.78

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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.