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Finding the Fourth Proportional to 209.23, 311.76 and 199.92

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Solution

The fourth proportional to 209.23, 311.76 and 199.92 is: 297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.23 : 311.76 = 199.92 : x
  2. Step 2: Convert to fraction form
    209.23/311.76 = 199.92/x
  3. Step 3: Cross multiply
    209.23x = 311.76 × 199.92
  4. Step 4: Simplify right side
    209.23x = 62,326.76
  5. Step 5: Solve for x
    x = 62,326.76/209.23
  6. Step 6: Final answer
    x = 297.88

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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.