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Finding the Fourth Proportional to 236.78, 326.89 and 166.91

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Solution

The fourth proportional to 236.78, 326.89 and 166.91 is: 230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.78 : 326.89 = 166.91 : x
  2. Step 2: Convert to fraction form
    236.78/326.89 = 166.91/x
  3. Step 3: Cross multiply
    236.78x = 326.89 × 166.91
  4. Step 4: Simplify right side
    236.78x = 54,559.16
  5. Step 5: Solve for x
    x = 54,559.16/236.78
  6. Step 6: Final answer
    x = 230.42

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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.