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Finding the Fourth Proportional to 209.18, 311.99 and 198.25

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Solution

The fourth proportional to 209.18, 311.99 and 198.25 is: 295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.18 : 311.99 = 198.25 : x
  2. Step 2: Convert to fraction form
    209.18/311.99 = 198.25/x
  3. Step 3: Cross multiply
    209.18x = 311.99 × 198.25
  4. Step 4: Simplify right side
    209.18x = 61,850.25
  5. Step 5: Solve for x
    x = 61,850.25/209.18
  6. Step 6: Final answer
    x = 295.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.