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Finding the Fourth Proportional to 254.96, 382.64 and 227.96

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Solution

The fourth proportional to 254.96, 382.64 and 227.96 is: 342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.96 : 382.64 = 227.96 : x
  2. Step 2: Convert to fraction form
    254.96/382.64 = 227.96/x
  3. Step 3: Cross multiply
    254.96x = 382.64 × 227.96
  4. Step 4: Simplify right side
    254.96x = 87,226.61
  5. Step 5: Solve for x
    x = 87,226.61/254.96
  6. Step 6: Final answer
    x = 342.12

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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.