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Finding the Fourth Proportional to 198.20, 272.82 and 187.40

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Solution

The fourth proportional to 198.20, 272.82 and 187.40 is: 257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.20 : 272.82 = 187.40 : x
  2. Step 2: Convert to fraction form
    198.20/272.82 = 187.40/x
  3. Step 3: Cross multiply
    198.20x = 272.82 × 187.40
  4. Step 4: Simplify right side
    198.20x = 51,126.47
  5. Step 5: Solve for x
    x = 51,126.47/198.20
  6. Step 6: Final answer
    x = 257.95

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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.