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Finding the Fourth Proportional to 236.92, 326.96 and 143.66

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Solution

The fourth proportional to 236.92, 326.96 and 143.66 is: 198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.92 : 326.96 = 143.66 : x
  2. Step 2: Convert to fraction form
    236.92/326.96 = 143.66/x
  3. Step 3: Cross multiply
    236.92x = 326.96 × 143.66
  4. Step 4: Simplify right side
    236.92x = 46,971.07
  5. Step 5: Solve for x
    x = 46,971.07/236.92
  6. Step 6: Final answer
    x = 198.26

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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.