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Finding the Fourth Proportional to 180.92, 249.72 and 122.78

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Solution

The fourth proportional to 180.92, 249.72 and 122.78 is: 169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.92 : 249.72 = 122.78 : x
  2. Step 2: Convert to fraction form
    180.92/249.72 = 122.78/x
  3. Step 3: Cross multiply
    180.92x = 249.72 × 122.78
  4. Step 4: Simplify right side
    180.92x = 30,660.62
  5. Step 5: Solve for x
    x = 30,660.62/180.92
  6. Step 6: Final answer
    x = 169.47

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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.