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Finding the Fourth Proportional to 299.96, 450.21 and 163.11

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Solution

The fourth proportional to 299.96, 450.21 and 163.11 is: 244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.96 : 450.21 = 163.11 : x
  2. Step 2: Convert to fraction form
    299.96/450.21 = 163.11/x
  3. Step 3: Cross multiply
    299.96x = 450.21 × 163.11
  4. Step 4: Simplify right side
    299.96x = 73,433.75
  5. Step 5: Solve for x
    x = 73,433.75/299.96
  6. Step 6: Final answer
    x = 244.82

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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.