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Finding the Fourth Proportional to 343.93, 516.46 and 226.99

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Solution

The fourth proportional to 343.93, 516.46 and 226.99 is: 340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.93 : 516.46 = 226.99 : x
  2. Step 2: Convert to fraction form
    343.93/516.46 = 226.99/x
  3. Step 3: Cross multiply
    343.93x = 516.46 × 226.99
  4. Step 4: Simplify right side
    343.93x = 117,231.26
  5. Step 5: Solve for x
    x = 117,231.26/343.93
  6. Step 6: Final answer
    x = 340.86

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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.