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Finding the Fourth Proportional to 267.95, 402.24 and 222.84

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Solution

The fourth proportional to 267.95, 402.24 and 222.84 is: 334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.95 : 402.24 = 222.84 : x
  2. Step 2: Convert to fraction form
    267.95/402.24 = 222.84/x
  3. Step 3: Cross multiply
    267.95x = 402.24 × 222.84
  4. Step 4: Simplify right side
    267.95x = 89,635.16
  5. Step 5: Solve for x
    x = 89,635.16/267.95
  6. Step 6: Final answer
    x = 334.53

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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.