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Finding the Fourth Proportional to 234.61, 323.78 and 129.71

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Solution

The fourth proportional to 234.61, 323.78 and 129.71 is: 179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.61 : 323.78 = 129.71 : x
  2. Step 2: Convert to fraction form
    234.61/323.78 = 129.71/x
  3. Step 3: Cross multiply
    234.61x = 323.78 × 129.71
  4. Step 4: Simplify right side
    234.61x = 41,997.50
  5. Step 5: Solve for x
    x = 41,997.50/234.61
  6. Step 6: Final answer
    x = 179.01

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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.