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Finding the Fourth Proportional to 299.37, 448.23 and 226.03

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Solution

The fourth proportional to 299.37, 448.23 and 226.03 is: 338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.37 : 448.23 = 226.03 : x
  2. Step 2: Convert to fraction form
    299.37/448.23 = 226.03/x
  3. Step 3: Cross multiply
    299.37x = 448.23 × 226.03
  4. Step 4: Simplify right side
    299.37x = 101,313.43
  5. Step 5: Solve for x
    x = 101,313.43/299.37
  6. Step 6: Final answer
    x = 338.42

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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.