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Finding the Fourth Proportional to 190.97, 285.81 and 158.94

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Solution

The fourth proportional to 190.97, 285.81 and 158.94 is: 237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.97 : 285.81 = 158.94 : x
  2. Step 2: Convert to fraction form
    190.97/285.81 = 158.94/x
  3. Step 3: Cross multiply
    190.97x = 285.81 × 158.94
  4. Step 4: Simplify right side
    190.97x = 45,426.05
  5. Step 5: Solve for x
    x = 45,426.05/190.97
  6. Step 6: Final answer
    x = 237.87

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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.