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Finding the Fourth Proportional to 180.92, 249.65 and 106.25

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Solution

The fourth proportional to 180.92, 249.65 and 106.25 is: 146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.92 : 249.65 = 106.25 : x
  2. Step 2: Convert to fraction form
    180.92/249.65 = 106.25/x
  3. Step 3: Cross multiply
    180.92x = 249.65 × 106.25
  4. Step 4: Simplify right side
    180.92x = 26,523.93
  5. Step 5: Solve for x
    x = 26,523.93/180.92
  6. Step 6: Final answer
    x = 146.61

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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.