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Finding the Fourth Proportional to 166.23, 249.17 and 63.48

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Solution

The fourth proportional to 166.23, 249.17 and 63.48 is: 95.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.23 : 249.17 = 63.48 : x
  2. Step 2: Convert to fraction form
    166.23/249.17 = 63.48/x
  3. Step 3: Cross multiply
    166.23x = 249.17 × 63.48
  4. Step 4: Simplify right side
    166.23x = 15,818.24
  5. Step 5: Solve for x
    x = 15,818.24/166.23
  6. Step 6: Final answer
    x = 95.16

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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.