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Finding the Fourth Proportional to 166.20, 249 and 108.42

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Solution

The fourth proportional to 166.20, 249 and 108.42 is: 162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.20 : 249 = 108.42 : x
  2. Step 2: Convert to fraction form
    166.20/249 = 108.42/x
  3. Step 3: Cross multiply
    166.20x = 249 × 108.42
  4. Step 4: Simplify right side
    166.20x = 26,996.58
  5. Step 5: Solve for x
    x = 26,996.58/166.20
  6. Step 6: Final answer
    x = 162.43

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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.