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Finding the Fourth Proportional to 163.36, 227.02 and 161.32

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Solution

The fourth proportional to 163.36, 227.02 and 161.32 is: 224.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.36 : 227.02 = 161.32 : x
  2. Step 2: Convert to fraction form
    163.36/227.02 = 161.32/x
  3. Step 3: Cross multiply
    163.36x = 227.02 × 161.32
  4. Step 4: Simplify right side
    163.36x = 36,622.87
  5. Step 5: Solve for x
    x = 36,622.87/163.36
  6. Step 6: Final answer
    x = 224.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.