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Finding the Fourth Proportional to 190.18, 285.42 and 132.81

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Solution

The fourth proportional to 190.18, 285.42 and 132.81 is: 199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.18 : 285.42 = 132.81 : x
  2. Step 2: Convert to fraction form
    190.18/285.42 = 132.81/x
  3. Step 3: Cross multiply
    190.18x = 285.42 × 132.81
  4. Step 4: Simplify right side
    190.18x = 37,906.63
  5. Step 5: Solve for x
    x = 37,906.63/190.18
  6. Step 6: Final answer
    x = 199.32

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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.