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Finding the Fourth Proportional to 323, 445.75 and 206.78

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Solution

The fourth proportional to 323, 445.75 and 206.78 is: 285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323 : 445.75 = 206.78 : x
  2. Step 2: Convert to fraction form
    323/445.75 = 206.78/x
  3. Step 3: Cross multiply
    323x = 445.75 × 206.78
  4. Step 4: Simplify right side
    323x = 92,172.19
  5. Step 5: Solve for x
    x = 92,172.19/323
  6. Step 6: Final answer
    x = 285.36

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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.