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Finding the Fourth Proportional to 181.20, 249.77 and 125.85

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Solution

The fourth proportional to 181.20, 249.77 and 125.85 is: 173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.20 : 249.77 = 125.85 : x
  2. Step 2: Convert to fraction form
    181.20/249.77 = 125.85/x
  3. Step 3: Cross multiply
    181.20x = 249.77 × 125.85
  4. Step 4: Simplify right side
    181.20x = 31,432.93
  5. Step 5: Solve for x
    x = 31,432.93/181.20
  6. Step 6: Final answer
    x = 173.47

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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.