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Finding the Fourth Proportional to 190.05, 284.83 and 144.25

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Solution

The fourth proportional to 190.05, 284.83 and 144.25 is: 216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.05 : 284.83 = 144.25 : x
  2. Step 2: Convert to fraction form
    190.05/284.83 = 144.25/x
  3. Step 3: Cross multiply
    190.05x = 284.83 × 144.25
  4. Step 4: Simplify right side
    190.05x = 41,086.73
  5. Step 5: Solve for x
    x = 41,086.73/190.05
  6. Step 6: Final answer
    x = 216.19

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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.