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Finding the Fourth Proportional to 215.92, 323.80 and 205.84

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Solution

The fourth proportional to 215.92, 323.80 and 205.84 is: 308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.92 : 323.80 = 205.84 : x
  2. Step 2: Convert to fraction form
    215.92/323.80 = 205.84/x
  3. Step 3: Cross multiply
    215.92x = 323.80 × 205.84
  4. Step 4: Simplify right side
    215.92x = 66,650.99
  5. Step 5: Solve for x
    x = 66,650.99/215.92
  6. Step 6: Final answer
    x = 308.68

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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.