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Finding the Fourth Proportional to 226.92, 339.42 and 190.44

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Solution

The fourth proportional to 226.92, 339.42 and 190.44 is: 284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.92 : 339.42 = 190.44 : x
  2. Step 2: Convert to fraction form
    226.92/339.42 = 190.44/x
  3. Step 3: Cross multiply
    226.92x = 339.42 × 190.44
  4. Step 4: Simplify right side
    226.92x = 64,639.14
  5. Step 5: Solve for x
    x = 64,639.14/226.92
  6. Step 6: Final answer
    x = 284.85

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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.