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Finding the Fourth Proportional to 190.22, 262.31 and 164.08

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Solution

The fourth proportional to 190.22, 262.31 and 164.08 is: 226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.22 : 262.31 = 164.08 : x
  2. Step 2: Convert to fraction form
    190.22/262.31 = 164.08/x
  3. Step 3: Cross multiply
    190.22x = 262.31 × 164.08
  4. Step 4: Simplify right side
    190.22x = 43,039.24
  5. Step 5: Solve for x
    x = 43,039.24/190.22
  6. Step 6: Final answer
    x = 226.26

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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.