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Finding the Fourth Proportional to 218.67, 327.69 and 200.78

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Solution

The fourth proportional to 218.67, 327.69 and 200.78 is: 300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.67 : 327.69 = 200.78 : x
  2. Step 2: Convert to fraction form
    218.67/327.69 = 200.78/x
  3. Step 3: Cross multiply
    218.67x = 327.69 × 200.78
  4. Step 4: Simplify right side
    218.67x = 65,790.96
  5. Step 5: Solve for x
    x = 65,790.96/218.67
  6. Step 6: Final answer
    x = 300.87

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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.