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Finding the Fourth Proportional to 190.26, 284.73 and 108.86

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Solution

The fourth proportional to 190.26, 284.73 and 108.86 is: 162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.26 : 284.73 = 108.86 : x
  2. Step 2: Convert to fraction form
    190.26/284.73 = 108.86/x
  3. Step 3: Cross multiply
    190.26x = 284.73 × 108.86
  4. Step 4: Simplify right side
    190.26x = 30,994.28
  5. Step 5: Solve for x
    x = 30,994.28/190.26
  6. Step 6: Final answer
    x = 162.90

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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.