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Finding the Fourth Proportional to 166.24, 249.67 and 135.87

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Solution

The fourth proportional to 166.24, 249.67 and 135.87 is: 204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.24 : 249.67 = 135.87 : x
  2. Step 2: Convert to fraction form
    166.24/249.67 = 135.87/x
  3. Step 3: Cross multiply
    166.24x = 249.67 × 135.87
  4. Step 4: Simplify right side
    166.24x = 33,922.66
  5. Step 5: Solve for x
    x = 33,922.66/166.24
  6. Step 6: Final answer
    x = 204.06

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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.