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Finding the Fourth Proportional to 227.22, 340.62 and 105.38

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Solution

The fourth proportional to 227.22, 340.62 and 105.38 is: 157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.22 : 340.62 = 105.38 : x
  2. Step 2: Convert to fraction form
    227.22/340.62 = 105.38/x
  3. Step 3: Cross multiply
    227.22x = 340.62 × 105.38
  4. Step 4: Simplify right side
    227.22x = 35,894.54
  5. Step 5: Solve for x
    x = 35,894.54/227.22
  6. Step 6: Final answer
    x = 157.97

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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.