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Finding the Fourth Proportional to 278.07, 382.42 and 222.72

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Solution

The fourth proportional to 278.07, 382.42 and 222.72 is: 306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.07 : 382.42 = 222.72 : x
  2. Step 2: Convert to fraction form
    278.07/382.42 = 222.72/x
  3. Step 3: Cross multiply
    278.07x = 382.42 × 222.72
  4. Step 4: Simplify right side
    278.07x = 85,171.43
  5. Step 5: Solve for x
    x = 85,171.43/278.07
  6. Step 6: Final answer
    x = 306.30

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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.