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Finding the Fourth Proportional to 236.93, 326.62 and 166.78

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Solution

The fourth proportional to 236.93, 326.62 and 166.78 is: 229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.93 : 326.62 = 166.78 : x
  2. Step 2: Convert to fraction form
    236.93/326.62 = 166.78/x
  3. Step 3: Cross multiply
    236.93x = 326.62 × 166.78
  4. Step 4: Simplify right side
    236.93x = 54,473.68
  5. Step 5: Solve for x
    x = 54,473.68/236.93
  6. Step 6: Final answer
    x = 229.91

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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.