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Finding the Fourth Proportional to 226.26, 311.78 and 173.80

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Solution

The fourth proportional to 226.26, 311.78 and 173.80 is: 239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.26 : 311.78 = 173.80 : x
  2. Step 2: Convert to fraction form
    226.26/311.78 = 173.80/x
  3. Step 3: Cross multiply
    226.26x = 311.78 × 173.80
  4. Step 4: Simplify right side
    226.26x = 54,187.36
  5. Step 5: Solve for x
    x = 54,187.36/226.26
  6. Step 6: Final answer
    x = 239.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.