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Finding the Fourth Proportional to 236.81, 326.66 and 163.01

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Solution

The fourth proportional to 236.81, 326.66 and 163.01 is: 224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.81 : 326.66 = 163.01 : x
  2. Step 2: Convert to fraction form
    236.81/326.66 = 163.01/x
  3. Step 3: Cross multiply
    236.81x = 326.66 × 163.01
  4. Step 4: Simplify right side
    236.81x = 53,246.40
  5. Step 5: Solve for x
    x = 53,246.40/236.81
  6. Step 6: Final answer
    x = 224.85

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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.