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Finding the Fourth Proportional to 236.53, 354.36 and 163.41

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Solution

The fourth proportional to 236.53, 354.36 and 163.41 is: 244.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.53 : 354.36 = 163.41 : x
  2. Step 2: Convert to fraction form
    236.53/354.36 = 163.41/x
  3. Step 3: Cross multiply
    236.53x = 354.36 × 163.41
  4. Step 4: Simplify right side
    236.53x = 57,905.97
  5. Step 5: Solve for x
    x = 57,905.97/236.53
  6. Step 6: Final answer
    x = 244.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.