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Finding the Fourth Proportional to 198.87, 274.43 and 115.97

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Solution

The fourth proportional to 198.87, 274.43 and 115.97 is: 160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.87 : 274.43 = 115.97 : x
  2. Step 2: Convert to fraction form
    198.87/274.43 = 115.97/x
  3. Step 3: Cross multiply
    198.87x = 274.43 × 115.97
  4. Step 4: Simplify right side
    198.87x = 31,825.65
  5. Step 5: Solve for x
    x = 31,825.65/198.87
  6. Step 6: Final answer
    x = 160.03

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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.