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Finding the Fourth Proportional to 190.94, 286.39 and 120.59

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Solution

The fourth proportional to 190.94, 286.39 and 120.59 is: 180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.94 : 286.39 = 120.59 : x
  2. Step 2: Convert to fraction form
    190.94/286.39 = 120.59/x
  3. Step 3: Cross multiply
    190.94x = 286.39 × 120.59
  4. Step 4: Simplify right side
    190.94x = 34,535.90
  5. Step 5: Solve for x
    x = 34,535.90/190.94
  6. Step 6: Final answer
    x = 180.87

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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.