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Finding the Fourth Proportional to 166.41, 249.75 and 112.41

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Solution

The fourth proportional to 166.41, 249.75 and 112.41 is: 168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.41 : 249.75 = 112.41 : x
  2. Step 2: Convert to fraction form
    166.41/249.75 = 112.41/x
  3. Step 3: Cross multiply
    166.41x = 249.75 × 112.41
  4. Step 4: Simplify right side
    166.41x = 28,074.40
  5. Step 5: Solve for x
    x = 28,074.40/166.41
  6. Step 6: Final answer
    x = 168.71

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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.