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Finding the Fourth Proportional to 166.08, 229.22 and 126.67

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Solution

The fourth proportional to 166.08, 229.22 and 126.67 is: 174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.08 : 229.22 = 126.67 : x
  2. Step 2: Convert to fraction form
    166.08/229.22 = 126.67/x
  3. Step 3: Cross multiply
    166.08x = 229.22 × 126.67
  4. Step 4: Simplify right side
    166.08x = 29,034.95
  5. Step 5: Solve for x
    x = 29,034.95/166.08
  6. Step 6: Final answer
    x = 174.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.