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Finding the Fourth Proportional to 198.03, 297.10 and 159.86

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Solution

The fourth proportional to 198.03, 297.10 and 159.86 is: 239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.03 : 297.10 = 159.86 : x
  2. Step 2: Convert to fraction form
    198.03/297.10 = 159.86/x
  3. Step 3: Cross multiply
    198.03x = 297.10 × 159.86
  4. Step 4: Simplify right side
    198.03x = 47,492.86
  5. Step 5: Solve for x
    x = 47,492.86/198.03
  6. Step 6: Final answer
    x = 239.83

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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.