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Finding the Fourth Proportional to 166.93, 249.82 and 150.09

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Solution

The fourth proportional to 166.93, 249.82 and 150.09 is: 224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.93 : 249.82 = 150.09 : x
  2. Step 2: Convert to fraction form
    166.93/249.82 = 150.09/x
  3. Step 3: Cross multiply
    166.93x = 249.82 × 150.09
  4. Step 4: Simplify right side
    166.93x = 37,494.17
  5. Step 5: Solve for x
    x = 37,494.17/166.93
  6. Step 6: Final answer
    x = 224.61

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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.