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Finding the Fourth Proportional to 190.27, 285.31 and 132.44

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Solution

The fourth proportional to 190.27, 285.31 and 132.44 is: 198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.27 : 285.31 = 132.44 : x
  2. Step 2: Convert to fraction form
    190.27/285.31 = 132.44/x
  3. Step 3: Cross multiply
    190.27x = 285.31 × 132.44
  4. Step 4: Simplify right side
    190.27x = 37,786.84
  5. Step 5: Solve for x
    x = 37,786.84/190.27
  6. Step 6: Final answer
    x = 198.60

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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.