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Finding the Fourth Proportional to 190.12, 262.35 and 107.23

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Solution

The fourth proportional to 190.12, 262.35 and 107.23 is: 147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.12 : 262.35 = 107.23 : x
  2. Step 2: Convert to fraction form
    190.12/262.35 = 107.23/x
  3. Step 3: Cross multiply
    190.12x = 262.35 × 107.23
  4. Step 4: Simplify right side
    190.12x = 28,131.79
  5. Step 5: Solve for x
    x = 28,131.79/190.12
  6. Step 6: Final answer
    x = 147.97

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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.