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Finding the Fourth Proportional to 226.93, 340 and 194.11

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Solution

The fourth proportional to 226.93, 340 and 194.11 is: 290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.93 : 340 = 194.11 : x
  2. Step 2: Convert to fraction form
    226.93/340 = 194.11/x
  3. Step 3: Cross multiply
    226.93x = 340 × 194.11
  4. Step 4: Simplify right side
    226.93x = 65,997.40
  5. Step 5: Solve for x
    x = 65,997.40/226.93
  6. Step 6: Final answer
    x = 290.83

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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.