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Finding the Fourth Proportional to 236.24, 326.08 and 158.64

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Solution

The fourth proportional to 236.24, 326.08 and 158.64 is: 218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.24 : 326.08 = 158.64 : x
  2. Step 2: Convert to fraction form
    236.24/326.08 = 158.64/x
  3. Step 3: Cross multiply
    236.24x = 326.08 × 158.64
  4. Step 4: Simplify right side
    236.24x = 51,729.33
  5. Step 5: Solve for x
    x = 51,729.33/236.24
  6. Step 6: Final answer
    x = 218.97

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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.