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Finding the Fourth Proportional to 268.62, 371.22 and 198.78

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Solution

The fourth proportional to 268.62, 371.22 and 198.78 is: 274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.62 : 371.22 = 198.78 : x
  2. Step 2: Convert to fraction form
    268.62/371.22 = 198.78/x
  3. Step 3: Cross multiply
    268.62x = 371.22 × 198.78
  4. Step 4: Simplify right side
    268.62x = 73,791.11
  5. Step 5: Solve for x
    x = 73,791.11/268.62
  6. Step 6: Final answer
    x = 274.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.