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Finding the Fourth Proportional to 269.22, 403.78 and 95.90

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Solution

The fourth proportional to 269.22, 403.78 and 95.90 is: 143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.22 : 403.78 = 95.90 : x
  2. Step 2: Convert to fraction form
    269.22/403.78 = 95.90/x
  3. Step 3: Cross multiply
    269.22x = 403.78 × 95.90
  4. Step 4: Simplify right side
    269.22x = 38,722.50
  5. Step 5: Solve for x
    x = 38,722.50/269.22
  6. Step 6: Final answer
    x = 143.83

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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.