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Finding the Fourth Proportional to 164.39, 226.74 and 111.92

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Solution

The fourth proportional to 164.39, 226.74 and 111.92 is: 154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.39 : 226.74 = 111.92 : x
  2. Step 2: Convert to fraction form
    164.39/226.74 = 111.92/x
  3. Step 3: Cross multiply
    164.39x = 226.74 × 111.92
  4. Step 4: Simplify right side
    164.39x = 25,376.03
  5. Step 5: Solve for x
    x = 25,376.03/164.39
  6. Step 6: Final answer
    x = 154.37

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Why These Related Problems?

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