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Finding the Fourth Proportional to 164.93, 227.68 and 138.33

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Solution

The fourth proportional to 164.93, 227.68 and 138.33 is: 190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.93 : 227.68 = 138.33 : x
  2. Step 2: Convert to fraction form
    164.93/227.68 = 138.33/x
  3. Step 3: Cross multiply
    164.93x = 227.68 × 138.33
  4. Step 4: Simplify right side
    164.93x = 31,494.63
  5. Step 5: Solve for x
    x = 31,494.63/164.93
  6. Step 6: Final answer
    x = 190.96

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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.