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Finding the Fourth Proportional to 221.42, 330.39 and 205.73

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Solution

The fourth proportional to 221.42, 330.39 and 205.73 is: 306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.42 : 330.39 = 205.73 : x
  2. Step 2: Convert to fraction form
    221.42/330.39 = 205.73/x
  3. Step 3: Cross multiply
    221.42x = 330.39 × 205.73
  4. Step 4: Simplify right side
    221.42x = 67,969.48
  5. Step 5: Solve for x
    x = 67,969.48/221.42
  6. Step 6: Final answer
    x = 306.98

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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.