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Finding the Fourth Proportional to 198.98, 274.58 and 111.65

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Solution

The fourth proportional to 198.98, 274.58 and 111.65 is: 154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.98 : 274.58 = 111.65 : x
  2. Step 2: Convert to fraction form
    198.98/274.58 = 111.65/x
  3. Step 3: Cross multiply
    198.98x = 274.58 × 111.65
  4. Step 4: Simplify right side
    198.98x = 30,654.93
  5. Step 5: Solve for x
    x = 30,654.93/198.98
  6. Step 6: Final answer
    x = 154.06

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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.