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Finding the Fourth Proportional to 205.97, 308.97 and 103.23

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Solution

The fourth proportional to 205.97, 308.97 and 103.23 is: 154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.97 : 308.97 = 103.23 : x
  2. Step 2: Convert to fraction form
    205.97/308.97 = 103.23/x
  3. Step 3: Cross multiply
    205.97x = 308.97 × 103.23
  4. Step 4: Simplify right side
    205.97x = 31,894.97
  5. Step 5: Solve for x
    x = 31,894.97/205.97
  6. Step 6: Final answer
    x = 154.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.