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Finding the Fourth Proportional to 169.66, 254.20 and 111.85

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Solution

The fourth proportional to 169.66, 254.20 and 111.85 is: 167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.66 : 254.20 = 111.85 : x
  2. Step 2: Convert to fraction form
    169.66/254.20 = 111.85/x
  3. Step 3: Cross multiply
    169.66x = 254.20 × 111.85
  4. Step 4: Simplify right side
    169.66x = 28,432.27
  5. Step 5: Solve for x
    x = 28,432.27/169.66
  6. Step 6: Final answer
    x = 167.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.