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Finding the Fourth Proportional to 205.54, 308.25 and 75.56

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Solution

The fourth proportional to 205.54, 308.25 and 75.56 is: 113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.54 : 308.25 = 75.56 : x
  2. Step 2: Convert to fraction form
    205.54/308.25 = 75.56/x
  3. Step 3: Cross multiply
    205.54x = 308.25 × 75.56
  4. Step 4: Simplify right side
    205.54x = 23,289.83
  5. Step 5: Solve for x
    x = 23,289.83/205.54
  6. Step 6: Final answer
    x = 113.31

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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.