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Finding the Fourth Proportional to 269.40, 403.60 and 166.76

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Solution

The fourth proportional to 269.40, 403.60 and 166.76 is: 249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.40 : 403.60 = 166.76 : x
  2. Step 2: Convert to fraction form
    269.40/403.60 = 166.76/x
  3. Step 3: Cross multiply
    269.40x = 403.60 × 166.76
  4. Step 4: Simplify right side
    269.40x = 67,304.34
  5. Step 5: Solve for x
    x = 67,304.34/269.40
  6. Step 6: Final answer
    x = 249.83

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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.