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Finding the Fourth Proportional to 323.16, 446.24 and 205.34

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Solution

The fourth proportional to 323.16, 446.24 and 205.34 is: 283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.16 : 446.24 = 205.34 : x
  2. Step 2: Convert to fraction form
    323.16/446.24 = 205.34/x
  3. Step 3: Cross multiply
    323.16x = 446.24 × 205.34
  4. Step 4: Simplify right side
    323.16x = 91,629.20
  5. Step 5: Solve for x
    x = 91,629.20/323.16
  6. Step 6: Final answer
    x = 283.54

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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.