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Finding the Fourth Proportional to 198.98, 274.71 and 136.79

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Solution

The fourth proportional to 198.98, 274.71 and 136.79 is: 188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.98 : 274.71 = 136.79 : x
  2. Step 2: Convert to fraction form
    198.98/274.71 = 136.79/x
  3. Step 3: Cross multiply
    198.98x = 274.71 × 136.79
  4. Step 4: Simplify right side
    198.98x = 37,576.21
  5. Step 5: Solve for x
    x = 37,576.21/198.98
  6. Step 6: Final answer
    x = 188.85

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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.