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Finding the Fourth Proportional to 232.69, 321.15 and 134.42

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Solution

The fourth proportional to 232.69, 321.15 and 134.42 is: 185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.69 : 321.15 = 134.42 : x
  2. Step 2: Convert to fraction form
    232.69/321.15 = 134.42/x
  3. Step 3: Cross multiply
    232.69x = 321.15 × 134.42
  4. Step 4: Simplify right side
    232.69x = 43,169.79
  5. Step 5: Solve for x
    x = 43,169.79/232.69
  6. Step 6: Final answer
    x = 185.53

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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.