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Finding the Fourth Proportional to 166.48, 249.66 and 108.70

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Solution

The fourth proportional to 166.48, 249.66 and 108.70 is: 163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.48 : 249.66 = 108.70 : x
  2. Step 2: Convert to fraction form
    166.48/249.66 = 108.70/x
  3. Step 3: Cross multiply
    166.48x = 249.66 × 108.70
  4. Step 4: Simplify right side
    166.48x = 27,138.04
  5. Step 5: Solve for x
    x = 27,138.04/166.48
  6. Step 6: Final answer
    x = 163.01

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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.