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Finding the Fourth Proportional to 234.39, 323.46 and 141.15

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Solution

The fourth proportional to 234.39, 323.46 and 141.15 is: 194.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.39 : 323.46 = 141.15 : x
  2. Step 2: Convert to fraction form
    234.39/323.46 = 141.15/x
  3. Step 3: Cross multiply
    234.39x = 323.46 × 141.15
  4. Step 4: Simplify right side
    234.39x = 45,656.38
  5. Step 5: Solve for x
    x = 45,656.38/234.39
  6. Step 6: Final answer
    x = 194.79

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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.