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Finding the Fourth Proportional to 236.30, 326.26 and 166.46

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Solution

The fourth proportional to 236.30, 326.26 and 166.46 is: 229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.30 : 326.26 = 166.46 : x
  2. Step 2: Convert to fraction form
    236.30/326.26 = 166.46/x
  3. Step 3: Cross multiply
    236.30x = 326.26 × 166.46
  4. Step 4: Simplify right side
    236.30x = 54,309.24
  5. Step 5: Solve for x
    x = 54,309.24/236.30
  6. Step 6: Final answer
    x = 229.83

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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.