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Finding the Fourth Proportional to 166.77, 250.02 and 149.49

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Solution

The fourth proportional to 166.77, 250.02 and 149.49 is: 224.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.77 : 250.02 = 149.49 : x
  2. Step 2: Convert to fraction form
    166.77/250.02 = 149.49/x
  3. Step 3: Cross multiply
    166.77x = 250.02 × 149.49
  4. Step 4: Simplify right side
    166.77x = 37,375.49
  5. Step 5: Solve for x
    x = 37,375.49/166.77
  6. Step 6: Final answer
    x = 224.11

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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.