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Finding the Fourth Proportional to 269.62, 403.96 and 166.76

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Solution

The fourth proportional to 269.62, 403.96 and 166.76 is: 249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.62 : 403.96 = 166.76 : x
  2. Step 2: Convert to fraction form
    269.62/403.96 = 166.76/x
  3. Step 3: Cross multiply
    269.62x = 403.96 × 166.76
  4. Step 4: Simplify right side
    269.62x = 67,364.37
  5. Step 5: Solve for x
    x = 67,364.37/269.62
  6. Step 6: Final answer
    x = 249.85

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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.