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Finding the Fourth Proportional to 166.75, 249.90 and 89.61

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Solution

The fourth proportional to 166.75, 249.90 and 89.61 is: 134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.75 : 249.90 = 89.61 : x
  2. Step 2: Convert to fraction form
    166.75/249.90 = 89.61/x
  3. Step 3: Cross multiply
    166.75x = 249.90 × 89.61
  4. Step 4: Simplify right side
    166.75x = 22,393.54
  5. Step 5: Solve for x
    x = 22,393.54/166.75
  6. Step 6: Final answer
    x = 134.29

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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.