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Finding the Fourth Proportional to 297.28, 445.20 and 205.72

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Solution

The fourth proportional to 297.28, 445.20 and 205.72 is: 308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.28 : 445.20 = 205.72 : x
  2. Step 2: Convert to fraction form
    297.28/445.20 = 205.72/x
  3. Step 3: Cross multiply
    297.28x = 445.20 × 205.72
  4. Step 4: Simplify right side
    297.28x = 91,586.54
  5. Step 5: Solve for x
    x = 91,586.54/297.28
  6. Step 6: Final answer
    x = 308.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.