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Finding the Fourth Proportional to 190.85, 286.16 and 75.20

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Solution

The fourth proportional to 190.85, 286.16 and 75.20 is: 112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.85 : 286.16 = 75.20 : x
  2. Step 2: Convert to fraction form
    190.85/286.16 = 75.20/x
  3. Step 3: Cross multiply
    190.85x = 286.16 × 75.20
  4. Step 4: Simplify right side
    190.85x = 21,517.43
  5. Step 5: Solve for x
    x = 21,517.43/190.85
  6. Step 6: Final answer
    x = 112.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.