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Finding the Fourth Proportional to 190.62, 286.07 and 94.50

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Solution

The fourth proportional to 190.62, 286.07 and 94.50 is: 141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.62 : 286.07 = 94.50 : x
  2. Step 2: Convert to fraction form
    190.62/286.07 = 94.50/x
  3. Step 3: Cross multiply
    190.62x = 286.07 × 94.50
  4. Step 4: Simplify right side
    190.62x = 27,033.14
  5. Step 5: Solve for x
    x = 27,033.14/190.62
  6. Step 6: Final answer
    x = 141.82

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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.