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Finding the Fourth Proportional to 229.32, 343.96 and 126.65

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Solution

The fourth proportional to 229.32, 343.96 and 126.65 is: 189.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.32 : 343.96 = 126.65 : x
  2. Step 2: Convert to fraction form
    229.32/343.96 = 126.65/x
  3. Step 3: Cross multiply
    229.32x = 343.96 × 126.65
  4. Step 4: Simplify right side
    229.32x = 43,562.85
  5. Step 5: Solve for x
    x = 43,562.85/229.32
  6. Step 6: Final answer
    x = 189.97

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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.