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Finding the Fourth Proportional to 166.12, 249.23 and 111.49

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Solution

The fourth proportional to 166.12, 249.23 and 111.49 is: 167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.12 : 249.23 = 111.49 : x
  2. Step 2: Convert to fraction form
    166.12/249.23 = 111.49/x
  3. Step 3: Cross multiply
    166.12x = 249.23 × 111.49
  4. Step 4: Simplify right side
    166.12x = 27,786.31
  5. Step 5: Solve for x
    x = 27,786.31/166.12
  6. Step 6: Final answer
    x = 167.27

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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.