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Finding the Fourth Proportional to 283.73, 391.59 and 205.31

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Solution

The fourth proportional to 283.73, 391.59 and 205.31 is: 283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.73 : 391.59 = 205.31 : x
  2. Step 2: Convert to fraction form
    283.73/391.59 = 205.31/x
  3. Step 3: Cross multiply
    283.73x = 391.59 × 205.31
  4. Step 4: Simplify right side
    283.73x = 80,398.32
  5. Step 5: Solve for x
    x = 80,398.32/283.73
  6. Step 6: Final answer
    x = 283.36

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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.