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Finding the Fourth Proportional to 190.82, 286.17 and 88.05

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Solution

The fourth proportional to 190.82, 286.17 and 88.05 is: 132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.82 : 286.17 = 88.05 : x
  2. Step 2: Convert to fraction form
    190.82/286.17 = 88.05/x
  3. Step 3: Cross multiply
    190.82x = 286.17 × 88.05
  4. Step 4: Simplify right side
    190.82x = 25,197.27
  5. Step 5: Solve for x
    x = 25,197.27/190.82
  6. Step 6: Final answer
    x = 132.05

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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.