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Finding the Fourth Proportional to 209.03, 311.81 and 200.39

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Solution

The fourth proportional to 209.03, 311.81 and 200.39 is: 298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.03 : 311.81 = 200.39 : x
  2. Step 2: Convert to fraction form
    209.03/311.81 = 200.39/x
  3. Step 3: Cross multiply
    209.03x = 311.81 × 200.39
  4. Step 4: Simplify right side
    209.03x = 62,481.04
  5. Step 5: Solve for x
    x = 62,481.04/209.03
  6. Step 6: Final answer
    x = 298.92

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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.