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Finding the Fourth Proportional to 269.25, 403.85 and 86.77

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Solution

The fourth proportional to 269.25, 403.85 and 86.77 is: 130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.25 : 403.85 = 86.77 : x
  2. Step 2: Convert to fraction form
    269.25/403.85 = 86.77/x
  3. Step 3: Cross multiply
    269.25x = 403.85 × 86.77
  4. Step 4: Simplify right side
    269.25x = 35,042.06
  5. Step 5: Solve for x
    x = 35,042.06/269.25
  6. Step 6: Final answer
    x = 130.15

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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.