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Finding the Fourth Proportional to 229.69, 344.13 and 132.07

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Solution

The fourth proportional to 229.69, 344.13 and 132.07 is: 197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.69 : 344.13 = 132.07 : x
  2. Step 2: Convert to fraction form
    229.69/344.13 = 132.07/x
  3. Step 3: Cross multiply
    229.69x = 344.13 × 132.07
  4. Step 4: Simplify right side
    229.69x = 45,449.25
  5. Step 5: Solve for x
    x = 45,449.25/229.69
  6. Step 6: Final answer
    x = 197.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.