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Finding the Fourth Proportional to 234.40, 323.46 and 141.13

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Solution

The fourth proportional to 234.40, 323.46 and 141.13 is: 194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.40 : 323.46 = 141.13 : x
  2. Step 2: Convert to fraction form
    234.40/323.46 = 141.13/x
  3. Step 3: Cross multiply
    234.40x = 323.46 × 141.13
  4. Step 4: Simplify right side
    234.40x = 45,648.73
  5. Step 5: Solve for x
    x = 45,648.73/234.40
  6. Step 6: Final answer
    x = 194.75

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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.