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Finding the Fourth Proportional to 205.73, 308.18 and 154.43

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Solution

The fourth proportional to 205.73, 308.18 and 154.43 is: 231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.73 : 308.18 = 154.43 : x
  2. Step 2: Convert to fraction form
    205.73/308.18 = 154.43/x
  3. Step 3: Cross multiply
    205.73x = 308.18 × 154.43
  4. Step 4: Simplify right side
    205.73x = 47,590.70
  5. Step 5: Solve for x
    x = 47,590.70/205.73
  6. Step 6: Final answer
    x = 231.33

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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.