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Finding the Fourth Proportional to 166.75, 249.59 and 115.49

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Solution

The fourth proportional to 166.75, 249.59 and 115.49 is: 172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.75 : 249.59 = 115.49 : x
  2. Step 2: Convert to fraction form
    166.75/249.59 = 115.49/x
  3. Step 3: Cross multiply
    166.75x = 249.59 × 115.49
  4. Step 4: Simplify right side
    166.75x = 28,826.06
  5. Step 5: Solve for x
    x = 28,826.06/166.75
  6. Step 6: Final answer
    x = 172.87

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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.