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Finding the Fourth Proportional to 205.97, 308.03 and 154.04

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Solution

The fourth proportional to 205.97, 308.03 and 154.04 is: 230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.97 : 308.03 = 154.04 : x
  2. Step 2: Convert to fraction form
    205.97/308.03 = 154.04/x
  3. Step 3: Cross multiply
    205.97x = 308.03 × 154.04
  4. Step 4: Simplify right side
    205.97x = 47,446.63
  5. Step 5: Solve for x
    x = 47,446.63/205.97
  6. Step 6: Final answer
    x = 230.36

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