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Finding the Fourth Proportional to 190.75, 262.98 and 164.49

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Solution

The fourth proportional to 190.75, 262.98 and 164.49 is: 226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.75 : 262.98 = 164.49 : x
  2. Step 2: Convert to fraction form
    190.75/262.98 = 164.49/x
  3. Step 3: Cross multiply
    190.75x = 262.98 × 164.49
  4. Step 4: Simplify right side
    190.75x = 43,255.44
  5. Step 5: Solve for x
    x = 43,255.44/190.75
  6. Step 6: Final answer
    x = 226.77

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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.