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Finding the Fourth Proportional to 226.92, 339.84 and 201.28

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Solution

The fourth proportional to 226.92, 339.84 and 201.28 is: 301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.92 : 339.84 = 201.28 : x
  2. Step 2: Convert to fraction form
    226.92/339.84 = 201.28/x
  3. Step 3: Cross multiply
    226.92x = 339.84 × 201.28
  4. Step 4: Simplify right side
    226.92x = 68,403.00
  5. Step 5: Solve for x
    x = 68,403.00/226.92
  6. Step 6: Final answer
    x = 301.44

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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.