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Finding the Fourth Proportional to 269.13, 403.49 and 106.86

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Solution

The fourth proportional to 269.13, 403.49 and 106.86 is: 160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.13 : 403.49 = 106.86 : x
  2. Step 2: Convert to fraction form
    269.13/403.49 = 106.86/x
  3. Step 3: Cross multiply
    269.13x = 403.49 × 106.86
  4. Step 4: Simplify right side
    269.13x = 43,114.39
  5. Step 5: Solve for x
    x = 43,114.39/269.13
  6. Step 6: Final answer
    x = 160.20

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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.