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Finding the Fourth Proportional to 198.55, 274 and 119.87

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Solution

The fourth proportional to 198.55, 274 and 119.87 is: 165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.55 : 274 = 119.87 : x
  2. Step 2: Convert to fraction form
    198.55/274 = 119.87/x
  3. Step 3: Cross multiply
    198.55x = 274 × 119.87
  4. Step 4: Simplify right side
    198.55x = 32,844.38
  5. Step 5: Solve for x
    x = 32,844.38/198.55
  6. Step 6: Final answer
    x = 165.43

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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.