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Finding the Fourth Proportional to 198.92, 274.49 and 111.58

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Solution

The fourth proportional to 198.92, 274.49 and 111.58 is: 153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.92 : 274.49 = 111.58 : x
  2. Step 2: Convert to fraction form
    198.92/274.49 = 111.58/x
  3. Step 3: Cross multiply
    198.92x = 274.49 × 111.58
  4. Step 4: Simplify right side
    198.92x = 30,626.77
  5. Step 5: Solve for x
    x = 30,626.77/198.92
  6. Step 6: Final answer
    x = 153.96

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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.