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Finding the Fourth Proportional to 269.26, 403.81 and 76.84

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Solution

The fourth proportional to 269.26, 403.81 and 76.84 is: 115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.26 : 403.81 = 76.84 : x
  2. Step 2: Convert to fraction form
    269.26/403.81 = 76.84/x
  3. Step 3: Cross multiply
    269.26x = 403.81 × 76.84
  4. Step 4: Simplify right side
    269.26x = 31,028.76
  5. Step 5: Solve for x
    x = 31,028.76/269.26
  6. Step 6: Final answer
    x = 115.24

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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.