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Finding the Fourth Proportional to 166.23, 249.41 and 101.22

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Solution

The fourth proportional to 166.23, 249.41 and 101.22 is: 151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.23 : 249.41 = 101.22 : x
  2. Step 2: Convert to fraction form
    166.23/249.41 = 101.22/x
  3. Step 3: Cross multiply
    166.23x = 249.41 × 101.22
  4. Step 4: Simplify right side
    166.23x = 25,244.77
  5. Step 5: Solve for x
    x = 25,244.77/166.23
  6. Step 6: Final answer
    x = 151.87

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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.