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Finding the Fourth Proportional to 219.68, 327.34 and 205.72

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Solution

The fourth proportional to 219.68, 327.34 and 205.72 is: 306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.68 : 327.34 = 205.72 : x
  2. Step 2: Convert to fraction form
    219.68/327.34 = 205.72/x
  3. Step 3: Cross multiply
    219.68x = 327.34 × 205.72
  4. Step 4: Simplify right side
    219.68x = 67,340.38
  5. Step 5: Solve for x
    x = 67,340.38/219.68
  6. Step 6: Final answer
    x = 306.54

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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.