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Finding the Fourth Proportional to 190.68, 286.17 and 104.10

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Solution

The fourth proportional to 190.68, 286.17 and 104.10 is: 156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.68 : 286.17 = 104.10 : x
  2. Step 2: Convert to fraction form
    190.68/286.17 = 104.10/x
  3. Step 3: Cross multiply
    190.68x = 286.17 × 104.10
  4. Step 4: Simplify right side
    190.68x = 29,790.30
  5. Step 5: Solve for x
    x = 29,790.30/190.68
  6. Step 6: Final answer
    x = 156.23

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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.