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Finding the Fourth Proportional to 166.62, 249.59 and 161.76

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Solution

The fourth proportional to 166.62, 249.59 and 161.76 is: 242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.62 : 249.59 = 161.76 : x
  2. Step 2: Convert to fraction form
    166.62/249.59 = 161.76/x
  3. Step 3: Cross multiply
    166.62x = 249.59 × 161.76
  4. Step 4: Simplify right side
    166.62x = 40,373.68
  5. Step 5: Solve for x
    x = 40,373.68/166.62
  6. Step 6: Final answer
    x = 242.31

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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.