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Finding the Fourth Proportional to 198.29, 297.03 and 195.86

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Solution

The fourth proportional to 198.29, 297.03 and 195.86 is: 293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.29 : 297.03 = 195.86 : x
  2. Step 2: Convert to fraction form
    198.29/297.03 = 195.86/x
  3. Step 3: Cross multiply
    198.29x = 297.03 × 195.86
  4. Step 4: Simplify right side
    198.29x = 58,176.30
  5. Step 5: Solve for x
    x = 58,176.30/198.29
  6. Step 6: Final answer
    x = 293.39

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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.