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Finding the Fourth Proportional to 198.20, 297.66 and 102.20

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Solution

The fourth proportional to 198.20, 297.66 and 102.20 is: 153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.20 : 297.66 = 102.20 : x
  2. Step 2: Convert to fraction form
    198.20/297.66 = 102.20/x
  3. Step 3: Cross multiply
    198.20x = 297.66 × 102.20
  4. Step 4: Simplify right side
    198.20x = 30,420.85
  5. Step 5: Solve for x
    x = 30,420.85/198.20
  6. Step 6: Final answer
    x = 153.49

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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.