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Finding the Fourth Proportional to 320.73, 481.21 and 190.84

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Solution

The fourth proportional to 320.73, 481.21 and 190.84 is: 286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.73 : 481.21 = 190.84 : x
  2. Step 2: Convert to fraction form
    320.73/481.21 = 190.84/x
  3. Step 3: Cross multiply
    320.73x = 481.21 × 190.84
  4. Step 4: Simplify right side
    320.73x = 91,834.12
  5. Step 5: Solve for x
    x = 91,834.12/320.73
  6. Step 6: Final answer
    x = 286.33

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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.