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Finding the Fourth Proportional to 180.43, 270.68 and 147.96

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Solution

The fourth proportional to 180.43, 270.68 and 147.96 is: 221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.43 : 270.68 = 147.96 : x
  2. Step 2: Convert to fraction form
    180.43/270.68 = 147.96/x
  3. Step 3: Cross multiply
    180.43x = 270.68 × 147.96
  4. Step 4: Simplify right side
    180.43x = 40,049.07
  5. Step 5: Solve for x
    x = 40,049.07/180.43
  6. Step 6: Final answer
    x = 221.97

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Why These Related Problems?

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