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Finding the Fourth Proportional to 299.67, 448.63 and 222.99

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Solution

The fourth proportional to 299.67, 448.63 and 222.99 is: 333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.67 : 448.63 = 222.99 : x
  2. Step 2: Convert to fraction form
    299.67/448.63 = 222.99/x
  3. Step 3: Cross multiply
    299.67x = 448.63 × 222.99
  4. Step 4: Simplify right side
    299.67x = 100,040.00
  5. Step 5: Solve for x
    x = 100,040.00/299.67
  6. Step 6: Final answer
    x = 333.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.