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Finding the Fourth Proportional to 323.18, 446.22 and 224.90

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Solution

The fourth proportional to 323.18, 446.22 and 224.90 is: 310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.18 : 446.22 = 224.90 : x
  2. Step 2: Convert to fraction form
    323.18/446.22 = 224.90/x
  3. Step 3: Cross multiply
    323.18x = 446.22 × 224.90
  4. Step 4: Simplify right side
    323.18x = 100,354.88
  5. Step 5: Solve for x
    x = 100,354.88/323.18
  6. Step 6: Final answer
    x = 310.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.