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Finding the Fourth Proportional to 255.27, 382.39 and 197.29

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Solution

The fourth proportional to 255.27, 382.39 and 197.29 is: 295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.27 : 382.39 = 197.29 : x
  2. Step 2: Convert to fraction form
    255.27/382.39 = 197.29/x
  3. Step 3: Cross multiply
    255.27x = 382.39 × 197.29
  4. Step 4: Simplify right side
    255.27x = 75,441.72
  5. Step 5: Solve for x
    x = 75,441.72/255.27
  6. Step 6: Final answer
    x = 295.54

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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.