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Finding the Fourth Proportional to 198.50, 297.59 and 137.90

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Solution

The fourth proportional to 198.50, 297.59 and 137.90 is: 206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.50 : 297.59 = 137.90 : x
  2. Step 2: Convert to fraction form
    198.50/297.59 = 137.90/x
  3. Step 3: Cross multiply
    198.50x = 297.59 × 137.90
  4. Step 4: Simplify right side
    198.50x = 41,035.48
  5. Step 5: Solve for x
    x = 41,035.48/198.50
  6. Step 6: Final answer
    x = 206.73

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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.