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Finding the Fourth Proportional to 163.36, 224.19 and 159.28

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Solution

The fourth proportional to 163.36, 224.19 and 159.28 is: 218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.36 : 224.19 = 159.28 : x
  2. Step 2: Convert to fraction form
    163.36/224.19 = 159.28/x
  3. Step 3: Cross multiply
    163.36x = 224.19 × 159.28
  4. Step 4: Simplify right side
    163.36x = 35,708.98
  5. Step 5: Solve for x
    x = 35,708.98/163.36
  6. Step 6: Final answer
    x = 218.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.