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Finding the Fourth Proportional to 180.55, 249.16 and 106.86

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Solution

The fourth proportional to 180.55, 249.16 and 106.86 is: 147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.55 : 249.16 = 106.86 : x
  2. Step 2: Convert to fraction form
    180.55/249.16 = 106.86/x
  3. Step 3: Cross multiply
    180.55x = 249.16 × 106.86
  4. Step 4: Simplify right side
    180.55x = 26,624.97
  5. Step 5: Solve for x
    x = 26,624.97/180.55
  6. Step 6: Final answer
    x = 147.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.