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Finding the Fourth Proportional to 205.73, 283.92 and 161.99

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Solution

The fourth proportional to 205.73, 283.92 and 161.99 is: 223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.73 : 283.92 = 161.99 : x
  2. Step 2: Convert to fraction form
    205.73/283.92 = 161.99/x
  3. Step 3: Cross multiply
    205.73x = 283.92 × 161.99
  4. Step 4: Simplify right side
    205.73x = 45,992.20
  5. Step 5: Solve for x
    x = 45,992.20/205.73
  6. Step 6: Final answer
    x = 223.56

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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.