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Finding the Fourth Proportional to 271.20, 406.20 and 219.84

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Solution

The fourth proportional to 271.20, 406.20 and 219.84 is: 329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.20 : 406.20 = 219.84 : x
  2. Step 2: Convert to fraction form
    271.20/406.20 = 219.84/x
  3. Step 3: Cross multiply
    271.20x = 406.20 × 219.84
  4. Step 4: Simplify right side
    271.20x = 89,299.01
  5. Step 5: Solve for x
    x = 89,299.01/271.20
  6. Step 6: Final answer
    x = 329.27

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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.