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Finding the Fourth Proportional to 269.16, 403.24 and 106.76

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Solution

The fourth proportional to 269.16, 403.24 and 106.76 is: 159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.16 : 403.24 = 106.76 : x
  2. Step 2: Convert to fraction form
    269.16/403.24 = 106.76/x
  3. Step 3: Cross multiply
    269.16x = 403.24 × 106.76
  4. Step 4: Simplify right side
    269.16x = 43,049.90
  5. Step 5: Solve for x
    x = 43,049.90/269.16
  6. Step 6: Final answer
    x = 159.94

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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.