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Finding the Fourth Proportional to 236.85, 326.77 and 166.92

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Solution

The fourth proportional to 236.85, 326.77 and 166.92 is: 230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.85 : 326.77 = 166.92 : x
  2. Step 2: Convert to fraction form
    236.85/326.77 = 166.92/x
  3. Step 3: Cross multiply
    236.85x = 326.77 × 166.92
  4. Step 4: Simplify right side
    236.85x = 54,544.45
  5. Step 5: Solve for x
    x = 54,544.45/236.85
  6. Step 6: Final answer
    x = 230.29

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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.