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Finding the Fourth Proportional to 198.65, 274.12 and 115.75

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Solution

The fourth proportional to 198.65, 274.12 and 115.75 is: 159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.65 : 274.12 = 115.75 : x
  2. Step 2: Convert to fraction form
    198.65/274.12 = 115.75/x
  3. Step 3: Cross multiply
    198.65x = 274.12 × 115.75
  4. Step 4: Simplify right side
    198.65x = 31,729.39
  5. Step 5: Solve for x
    x = 31,729.39/198.65
  6. Step 6: Final answer
    x = 159.73

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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.