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Finding the Fourth Proportional to 190.20, 284.99 and 159.78

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Solution

The fourth proportional to 190.20, 284.99 and 159.78 is: 239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.20 : 284.99 = 159.78 : x
  2. Step 2: Convert to fraction form
    190.20/284.99 = 159.78/x
  3. Step 3: Cross multiply
    190.20x = 284.99 × 159.78
  4. Step 4: Simplify right side
    190.20x = 45,534.90
  5. Step 5: Solve for x
    x = 45,534.90/190.20
  6. Step 6: Final answer
    x = 239.41

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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.