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Finding the Fourth Proportional to 166.23, 249.41 and 111.60

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Solution

The fourth proportional to 166.23, 249.41 and 111.60 is: 167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.23 : 249.41 = 111.60 : x
  2. Step 2: Convert to fraction form
    166.23/249.41 = 111.60/x
  3. Step 3: Cross multiply
    166.23x = 249.41 × 111.60
  4. Step 4: Simplify right side
    166.23x = 27,834.16
  5. Step 5: Solve for x
    x = 27,834.16/166.23
  6. Step 6: Final answer
    x = 167.44

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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.