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Finding the Fourth Proportional to 226.28, 338.01 and 191.88

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Solution

The fourth proportional to 226.28, 338.01 and 191.88 is: 286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.28 : 338.01 = 191.88 : x
  2. Step 2: Convert to fraction form
    226.28/338.01 = 191.88/x
  3. Step 3: Cross multiply
    226.28x = 338.01 × 191.88
  4. Step 4: Simplify right side
    226.28x = 64,857.36
  5. Step 5: Solve for x
    x = 64,857.36/226.28
  6. Step 6: Final answer
    x = 286.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.