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Finding the Fourth Proportional to 164.78, 227.36 and 112.24

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Solution

The fourth proportional to 164.78, 227.36 and 112.24 is: 154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.78 : 227.36 = 112.24 : x
  2. Step 2: Convert to fraction form
    164.78/227.36 = 112.24/x
  3. Step 3: Cross multiply
    164.78x = 227.36 × 112.24
  4. Step 4: Simplify right side
    164.78x = 25,517.54
  5. Step 5: Solve for x
    x = 25,517.54/164.78
  6. Step 6: Final answer
    x = 154.85

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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.