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Finding the Fourth Proportional to 236.78, 326.35 and 162.97

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Solution

The fourth proportional to 236.78, 326.35 and 162.97 is: 224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.78 : 326.35 = 162.97 : x
  2. Step 2: Convert to fraction form
    236.78/326.35 = 162.97/x
  3. Step 3: Cross multiply
    236.78x = 326.35 × 162.97
  4. Step 4: Simplify right side
    236.78x = 53,185.26
  5. Step 5: Solve for x
    x = 53,185.26/236.78
  6. Step 6: Final answer
    x = 224.62

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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.