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Finding the Fourth Proportional to 236.82, 326.50 and 163.01

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Solution

The fourth proportional to 236.82, 326.50 and 163.01 is: 224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.82 : 326.50 = 163.01 : x
  2. Step 2: Convert to fraction form
    236.82/326.50 = 163.01/x
  3. Step 3: Cross multiply
    236.82x = 326.50 × 163.01
  4. Step 4: Simplify right side
    236.82x = 53,223.17
  5. Step 5: Solve for x
    x = 53,223.17/236.82
  6. Step 6: Final answer
    x = 224.74

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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.