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Finding the Fourth Proportional to 198.97, 274.40 and 136.70

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Solution

The fourth proportional to 198.97, 274.40 and 136.70 is: 188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.97 : 274.40 = 136.70 : x
  2. Step 2: Convert to fraction form
    198.97/274.40 = 136.70/x
  3. Step 3: Cross multiply
    198.97x = 274.40 × 136.70
  4. Step 4: Simplify right side
    198.97x = 37,511.13
  5. Step 5: Solve for x
    x = 37,511.13/198.97
  6. Step 6: Final answer
    x = 188.52

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