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Finding the Fourth Proportional to 163.14, 224.67 and 149.37

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Solution

The fourth proportional to 163.14, 224.67 and 149.37 is: 205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.14 : 224.67 = 149.37 : x
  2. Step 2: Convert to fraction form
    163.14/224.67 = 149.37/x
  3. Step 3: Cross multiply
    163.14x = 224.67 × 149.37
  4. Step 4: Simplify right side
    163.14x = 33,558.96
  5. Step 5: Solve for x
    x = 33,558.96/163.14
  6. Step 6: Final answer
    x = 205.71

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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.