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Finding the Fourth Proportional to 226.21, 338.78 and 128.47

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Solution

The fourth proportional to 226.21, 338.78 and 128.47 is: 192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.21 : 338.78 = 128.47 : x
  2. Step 2: Convert to fraction form
    226.21/338.78 = 128.47/x
  3. Step 3: Cross multiply
    226.21x = 338.78 × 128.47
  4. Step 4: Simplify right side
    226.21x = 43,523.07
  5. Step 5: Solve for x
    x = 43,523.07/226.21
  6. Step 6: Final answer
    x = 192.40

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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.