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Finding the Fourth Proportional to 234.43, 323.48 and 141.17

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Solution

The fourth proportional to 234.43, 323.48 and 141.17 is: 194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.43 : 323.48 = 141.17 : x
  2. Step 2: Convert to fraction form
    234.43/323.48 = 141.17/x
  3. Step 3: Cross multiply
    234.43x = 323.48 × 141.17
  4. Step 4: Simplify right side
    234.43x = 45,664.97
  5. Step 5: Solve for x
    x = 45,664.97/234.43
  6. Step 6: Final answer
    x = 194.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.