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Finding the Fourth Proportional to 269.12, 403.64 and 76.80

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Solution

The fourth proportional to 269.12, 403.64 and 76.80 is: 115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.12 : 403.64 = 76.80 : x
  2. Step 2: Convert to fraction form
    269.12/403.64 = 76.80/x
  3. Step 3: Cross multiply
    269.12x = 403.64 × 76.80
  4. Step 4: Simplify right side
    269.12x = 30,999.55
  5. Step 5: Solve for x
    x = 30,999.55/269.12
  6. Step 6: Final answer
    x = 115.19

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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.