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Finding the Fourth Proportional to 323.32, 445.96 and 225.12

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Solution

The fourth proportional to 323.32, 445.96 and 225.12 is: 310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.32 : 445.96 = 225.12 : x
  2. Step 2: Convert to fraction form
    323.32/445.96 = 225.12/x
  3. Step 3: Cross multiply
    323.32x = 445.96 × 225.12
  4. Step 4: Simplify right side
    323.32x = 100,394.52
  5. Step 5: Solve for x
    x = 100,394.52/323.32
  6. Step 6: Final answer
    x = 310.51

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