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Finding the Fourth Proportional to 550.49, 825.81 and 185.21

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Solution

The fourth proportional to 550.49, 825.81 and 185.21 is: 277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.49 : 825.81 = 185.21 : x
  2. Step 2: Convert to fraction form
    550.49/825.81 = 185.21/x
  3. Step 3: Cross multiply
    550.49x = 825.81 × 185.21
  4. Step 4: Simplify right side
    550.49x = 152,944.14
  5. Step 5: Solve for x
    x = 152,944.14/550.49
  6. Step 6: Final answer
    x = 277.83

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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.