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Finding the Fourth Proportional to 323.14, 446.06 and 205.22

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Solution

The fourth proportional to 323.14, 446.06 and 205.22 is: 283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.14 : 446.06 = 205.22 : x
  2. Step 2: Convert to fraction form
    323.14/446.06 = 205.22/x
  3. Step 3: Cross multiply
    323.14x = 446.06 × 205.22
  4. Step 4: Simplify right side
    323.14x = 91,540.43
  5. Step 5: Solve for x
    x = 91,540.43/323.14
  6. Step 6: Final answer
    x = 283.28

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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.