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Finding the Fourth Proportional to 254.56, 382.16 and 196.96

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Solution

The fourth proportional to 254.56, 382.16 and 196.96 is: 295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.56 : 382.16 = 196.96 : x
  2. Step 2: Convert to fraction form
    254.56/382.16 = 196.96/x
  3. Step 3: Cross multiply
    254.56x = 382.16 × 196.96
  4. Step 4: Simplify right side
    254.56x = 75,270.23
  5. Step 5: Solve for x
    x = 75,270.23/254.56
  6. Step 6: Final answer
    x = 295.69

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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.