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Finding the Fourth Proportional to 180.92, 249.62 and 115.40

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Solution

The fourth proportional to 180.92, 249.62 and 115.40 is: 159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.92 : 249.62 = 115.40 : x
  2. Step 2: Convert to fraction form
    180.92/249.62 = 115.40/x
  3. Step 3: Cross multiply
    180.92x = 249.62 × 115.40
  4. Step 4: Simplify right side
    180.92x = 28,806.15
  5. Step 5: Solve for x
    x = 28,806.15/180.92
  6. Step 6: Final answer
    x = 159.22

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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.