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Finding the Fourth Proportional to 226.88, 338.68 and 192.27

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Solution

The fourth proportional to 226.88, 338.68 and 192.27 is: 287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.88 : 338.68 = 192.27 : x
  2. Step 2: Convert to fraction form
    226.88/338.68 = 192.27/x
  3. Step 3: Cross multiply
    226.88x = 338.68 × 192.27
  4. Step 4: Simplify right side
    226.88x = 65,119.51
  5. Step 5: Solve for x
    x = 65,119.51/226.88
  6. Step 6: Final answer
    x = 287.02

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