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Finding the Fourth Proportional to 212.91, 293.20 and 199.73

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Solution

The fourth proportional to 212.91, 293.20 and 199.73 is: 275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.91 : 293.20 = 199.73 : x
  2. Step 2: Convert to fraction form
    212.91/293.20 = 199.73/x
  3. Step 3: Cross multiply
    212.91x = 293.20 × 199.73
  4. Step 4: Simplify right side
    212.91x = 58,559.62
  5. Step 5: Solve for x
    x = 58,559.62/212.91
  6. Step 6: Final answer
    x = 275.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.