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Finding the Fourth Proportional to 323.09, 445.94 and 205.13

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Solution

The fourth proportional to 323.09, 445.94 and 205.13 is: 283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.09 : 445.94 = 205.13 : x
  2. Step 2: Convert to fraction form
    323.09/445.94 = 205.13/x
  3. Step 3: Cross multiply
    323.09x = 445.94 × 205.13
  4. Step 4: Simplify right side
    323.09x = 91,473.53
  5. Step 5: Solve for x
    x = 91,473.53/323.09
  6. Step 6: Final answer
    x = 283.13

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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.