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Finding the Fourth Proportional to 215.20, 323.08 and 205.76

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Solution

The fourth proportional to 215.20, 323.08 and 205.76 is: 308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.20 : 323.08 = 205.76 : x
  2. Step 2: Convert to fraction form
    215.20/323.08 = 205.76/x
  3. Step 3: Cross multiply
    215.20x = 323.08 × 205.76
  4. Step 4: Simplify right side
    215.20x = 66,476.94
  5. Step 5: Solve for x
    x = 66,476.94/215.20
  6. Step 6: Final answer
    x = 308.91

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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.