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Finding the Fourth Proportional to 221.43, 330.56 and 205.03

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Solution

The fourth proportional to 221.43, 330.56 and 205.03 is: 306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.43 : 330.56 = 205.03 : x
  2. Step 2: Convert to fraction form
    221.43/330.56 = 205.03/x
  3. Step 3: Cross multiply
    221.43x = 330.56 × 205.03
  4. Step 4: Simplify right side
    221.43x = 67,774.30
  5. Step 5: Solve for x
    x = 67,774.30/221.43
  6. Step 6: Final answer
    x = 306.07

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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.