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Finding the Fourth Proportional to 225.94, 311.79 and 122.44

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Solution

The fourth proportional to 225.94, 311.79 and 122.44 is: 168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.94 : 311.79 = 122.44 : x
  2. Step 2: Convert to fraction form
    225.94/311.79 = 122.44/x
  3. Step 3: Cross multiply
    225.94x = 311.79 × 122.44
  4. Step 4: Simplify right side
    225.94x = 38,175.25
  5. Step 5: Solve for x
    x = 38,175.25/225.94
  6. Step 6: Final answer
    x = 168.96

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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.