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Finding the Fourth Proportional to 234.53, 323.41 and 141.29

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Solution

The fourth proportional to 234.53, 323.41 and 141.29 is: 194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.53 : 323.41 = 141.29 : x
  2. Step 2: Convert to fraction form
    234.53/323.41 = 141.29/x
  3. Step 3: Cross multiply
    234.53x = 323.41 × 141.29
  4. Step 4: Simplify right side
    234.53x = 45,694.60
  5. Step 5: Solve for x
    x = 45,694.60/234.53
  6. Step 6: Final answer
    x = 194.83

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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.