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Finding the Fourth Proportional to 190.85, 262.77 and 163.22

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Solution

The fourth proportional to 190.85, 262.77 and 163.22 is: 224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.85 : 262.77 = 163.22 : x
  2. Step 2: Convert to fraction form
    190.85/262.77 = 163.22/x
  3. Step 3: Cross multiply
    190.85x = 262.77 × 163.22
  4. Step 4: Simplify right side
    190.85x = 42,889.32
  5. Step 5: Solve for x
    x = 42,889.32/190.85
  6. Step 6: Final answer
    x = 224.73

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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.