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Finding the Fourth Proportional to 209.09, 311.45 and 199.73

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Solution

The fourth proportional to 209.09, 311.45 and 199.73 is: 297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.09 : 311.45 = 199.73 : x
  2. Step 2: Convert to fraction form
    209.09/311.45 = 199.73/x
  3. Step 3: Cross multiply
    209.09x = 311.45 × 199.73
  4. Step 4: Simplify right side
    209.09x = 62,205.91
  5. Step 5: Solve for x
    x = 62,205.91/209.09
  6. Step 6: Final answer
    x = 297.51

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Why These Related Problems?

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