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Finding the Fourth Proportional to 164.33, 226.75 and 94.37

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Solution

The fourth proportional to 164.33, 226.75 and 94.37 is: 130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.33 : 226.75 = 94.37 : x
  2. Step 2: Convert to fraction form
    164.33/226.75 = 94.37/x
  3. Step 3: Cross multiply
    164.33x = 226.75 × 94.37
  4. Step 4: Simplify right side
    164.33x = 21,397.93
  5. Step 5: Solve for x
    x = 21,397.93/164.33
  6. Step 6: Final answer
    x = 130.22

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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.