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Finding the Fourth Proportional to 198.65, 297.90 and 137.60

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Solution

The fourth proportional to 198.65, 297.90 and 137.60 is: 206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.65 : 297.90 = 137.60 : x
  2. Step 2: Convert to fraction form
    198.65/297.90 = 137.60/x
  3. Step 3: Cross multiply
    198.65x = 297.90 × 137.60
  4. Step 4: Simplify right side
    198.65x = 40,991.04
  5. Step 5: Solve for x
    x = 40,991.04/198.65
  6. Step 6: Final answer
    x = 206.35

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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.