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Finding the Fourth Proportional to 166.35, 249.29 and 161.43

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Solution

The fourth proportional to 166.35, 249.29 and 161.43 is: 241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.35 : 249.29 = 161.43 : x
  2. Step 2: Convert to fraction form
    166.35/249.29 = 161.43/x
  3. Step 3: Cross multiply
    166.35x = 249.29 × 161.43
  4. Step 4: Simplify right side
    166.35x = 40,242.88
  5. Step 5: Solve for x
    x = 40,242.88/166.35
  6. Step 6: Final answer
    x = 241.92

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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.