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Finding the Fourth Proportional to 198.76, 274.27 and 115.86

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Solution

The fourth proportional to 198.76, 274.27 and 115.86 is: 159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.76 : 274.27 = 115.86 : x
  2. Step 2: Convert to fraction form
    198.76/274.27 = 115.86/x
  3. Step 3: Cross multiply
    198.76x = 274.27 × 115.86
  4. Step 4: Simplify right side
    198.76x = 31,776.92
  5. Step 5: Solve for x
    x = 31,776.92/198.76
  6. Step 6: Final answer
    x = 159.88

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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.