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Finding the Fourth Proportional to 209.62, 289.21 and 126.74

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Solution

The fourth proportional to 209.62, 289.21 and 126.74 is: 174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.62 : 289.21 = 126.74 : x
  2. Step 2: Convert to fraction form
    209.62/289.21 = 126.74/x
  3. Step 3: Cross multiply
    209.62x = 289.21 × 126.74
  4. Step 4: Simplify right side
    209.62x = 36,654.88
  5. Step 5: Solve for x
    x = 36,654.88/209.62
  6. Step 6: Final answer
    x = 174.87

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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.