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Finding the Fourth Proportional to 240.38, 331.62 and 198.88

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Solution

The fourth proportional to 240.38, 331.62 and 198.88 is: 274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.38 : 331.62 = 198.88 : x
  2. Step 2: Convert to fraction form
    240.38/331.62 = 198.88/x
  3. Step 3: Cross multiply
    240.38x = 331.62 × 198.88
  4. Step 4: Simplify right side
    240.38x = 65,952.59
  5. Step 5: Solve for x
    x = 65,952.59/240.38
  6. Step 6: Final answer
    x = 274.37

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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.