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Finding the Fourth Proportional to 190.13, 262.31 and 134.20

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Solution

The fourth proportional to 190.13, 262.31 and 134.20 is: 185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.13 : 262.31 = 134.20 : x
  2. Step 2: Convert to fraction form
    190.13/262.31 = 134.20/x
  3. Step 3: Cross multiply
    190.13x = 262.31 × 134.20
  4. Step 4: Simplify right side
    190.13x = 35,201.42
  5. Step 5: Solve for x
    x = 35,201.42/190.13
  6. Step 6: Final answer
    x = 185.14

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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.