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Finding the Fourth Proportional to 323.49, 446.25 and 205.26

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Solution

The fourth proportional to 323.49, 446.25 and 205.26 is: 283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.49 : 446.25 = 205.26 : x
  2. Step 2: Convert to fraction form
    323.49/446.25 = 205.26/x
  3. Step 3: Cross multiply
    323.49x = 446.25 × 205.26
  4. Step 4: Simplify right side
    323.49x = 91,597.28
  5. Step 5: Solve for x
    x = 91,597.28/323.49
  6. Step 6: Final answer
    x = 283.15

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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.