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Finding the Fourth Proportional to 166.82, 249.78 and 120.74

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Solution

The fourth proportional to 166.82, 249.78 and 120.74 is: 180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.82 : 249.78 = 120.74 : x
  2. Step 2: Convert to fraction form
    166.82/249.78 = 120.74/x
  3. Step 3: Cross multiply
    166.82x = 249.78 × 120.74
  4. Step 4: Simplify right side
    166.82x = 30,158.44
  5. Step 5: Solve for x
    x = 30,158.44/166.82
  6. Step 6: Final answer
    x = 180.78

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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.