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Finding the Fourth Proportional to 164.36, 226.86 and 111.92

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Solution

The fourth proportional to 164.36, 226.86 and 111.92 is: 154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.36 : 226.86 = 111.92 : x
  2. Step 2: Convert to fraction form
    164.36/226.86 = 111.92/x
  3. Step 3: Cross multiply
    164.36x = 226.86 × 111.92
  4. Step 4: Simplify right side
    164.36x = 25,389.04
  5. Step 5: Solve for x
    x = 25,389.04/164.36
  6. Step 6: Final answer
    x = 154.48

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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.