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Finding the Fourth Proportional to 190.75, 286.13 and 109.48

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Solution

The fourth proportional to 190.75, 286.13 and 109.48 is: 164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.75 : 286.13 = 109.48 : x
  2. Step 2: Convert to fraction form
    190.75/286.13 = 109.48/x
  3. Step 3: Cross multiply
    190.75x = 286.13 × 109.48
  4. Step 4: Simplify right side
    190.75x = 31,325.51
  5. Step 5: Solve for x
    x = 31,325.51/190.75
  6. Step 6: Final answer
    x = 164.22

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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.