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Finding the Fourth Proportional to 268.80, 403.19 and 76.42

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Solution

The fourth proportional to 268.80, 403.19 and 76.42 is: 114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.80 : 403.19 = 76.42 : x
  2. Step 2: Convert to fraction form
    268.80/403.19 = 76.42/x
  3. Step 3: Cross multiply
    268.80x = 403.19 × 76.42
  4. Step 4: Simplify right side
    268.80x = 30,811.78
  5. Step 5: Solve for x
    x = 30,811.78/268.80
  6. Step 6: Final answer
    x = 114.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.