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Finding the Fourth Proportional to 190.50, 262.89 and 141.61

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Solution

The fourth proportional to 190.50, 262.89 and 141.61 is: 195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.50 : 262.89 = 141.61 : x
  2. Step 2: Convert to fraction form
    190.50/262.89 = 141.61/x
  3. Step 3: Cross multiply
    190.50x = 262.89 × 141.61
  4. Step 4: Simplify right side
    190.50x = 37,227.85
  5. Step 5: Solve for x
    x = 37,227.85/190.50
  6. Step 6: Final answer
    x = 195.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.