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Finding the Fourth Proportional to 198.27, 297.86 and 140.63

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Solution

The fourth proportional to 198.27, 297.86 and 140.63 is: 211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.27 : 297.86 = 140.63 : x
  2. Step 2: Convert to fraction form
    198.27/297.86 = 140.63/x
  3. Step 3: Cross multiply
    198.27x = 297.86 × 140.63
  4. Step 4: Simplify right side
    198.27x = 41,888.44
  5. Step 5: Solve for x
    x = 41,888.44/198.27
  6. Step 6: Final answer
    x = 211.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.