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Finding the Fourth Proportional to 287.67, 396.87 and 222.27

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Solution

The fourth proportional to 287.67, 396.87 and 222.27 is: 306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.67 : 396.87 = 222.27 : x
  2. Step 2: Convert to fraction form
    287.67/396.87 = 222.27/x
  3. Step 3: Cross multiply
    287.67x = 396.87 × 222.27
  4. Step 4: Simplify right side
    287.67x = 88,212.29
  5. Step 5: Solve for x
    x = 88,212.29/287.67
  6. Step 6: Final answer
    x = 306.64

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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.