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Finding the Fourth Proportional to 205.96, 308.56 and 178.44

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Solution

The fourth proportional to 205.96, 308.56 and 178.44 is: 267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.96 : 308.56 = 178.44 : x
  2. Step 2: Convert to fraction form
    205.96/308.56 = 178.44/x
  3. Step 3: Cross multiply
    205.96x = 308.56 × 178.44
  4. Step 4: Simplify right side
    205.96x = 55,059.45
  5. Step 5: Solve for x
    x = 55,059.45/205.96
  6. Step 6: Final answer
    x = 267.33

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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.