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Finding the Fourth Proportional to 766.07, 1,149.11 and 218.22

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Solution

The fourth proportional to 766.07, 1,149.11 and 218.22 is: 327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.07 : 1,149.11 = 218.22 : x
  2. Step 2: Convert to fraction form
    766.07/1,149.11 = 218.22/x
  3. Step 3: Cross multiply
    766.07x = 1,149.11 × 218.22
  4. Step 4: Simplify right side
    766.07x = 250,757.69
  5. Step 5: Solve for x
    x = 250,757.69/766.07
  6. Step 6: Final answer
    x = 327.33

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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.