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Finding the Fourth Proportional to 190.16, 262.26 and 164.24

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Solution

The fourth proportional to 190.16, 262.26 and 164.24 is: 226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.16 : 262.26 = 164.24 : x
  2. Step 2: Convert to fraction form
    190.16/262.26 = 164.24/x
  3. Step 3: Cross multiply
    190.16x = 262.26 × 164.24
  4. Step 4: Simplify right side
    190.16x = 43,072.27
  5. Step 5: Solve for x
    x = 43,072.27/190.16
  6. Step 6: Final answer
    x = 226.51

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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.