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Finding the Fourth Proportional to 190.82, 286.23 and 88.14

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Solution

The fourth proportional to 190.82, 286.23 and 88.14 is: 132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.82 : 286.23 = 88.14 : x
  2. Step 2: Convert to fraction form
    190.82/286.23 = 88.14/x
  3. Step 3: Cross multiply
    190.82x = 286.23 × 88.14
  4. Step 4: Simplify right side
    190.82x = 25,228.31
  5. Step 5: Solve for x
    x = 25,228.31/190.82
  6. Step 6: Final answer
    x = 132.21

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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.