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Finding the Fourth Proportional to 190.54, 262.66 and 164.20

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Solution

The fourth proportional to 190.54, 262.66 and 164.20 is: 226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.54 : 262.66 = 164.20 : x
  2. Step 2: Convert to fraction form
    190.54/262.66 = 164.20/x
  3. Step 3: Cross multiply
    190.54x = 262.66 × 164.20
  4. Step 4: Simplify right side
    190.54x = 43,128.77
  5. Step 5: Solve for x
    x = 43,128.77/190.54
  6. Step 6: Final answer
    x = 226.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.