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Finding the Fourth Proportional to 278.12, 382.98 and 226.28

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Solution

The fourth proportional to 278.12, 382.98 and 226.28 is: 311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.12 : 382.98 = 226.28 : x
  2. Step 2: Convert to fraction form
    278.12/382.98 = 226.28/x
  3. Step 3: Cross multiply
    278.12x = 382.98 × 226.28
  4. Step 4: Simplify right side
    278.12x = 86,660.71
  5. Step 5: Solve for x
    x = 86,660.71/278.12
  6. Step 6: Final answer
    x = 311.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.