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Finding the Fourth Proportional to 550.69, 825.46 and 185.36

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Solution

The fourth proportional to 550.69, 825.46 and 185.36 is: 277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.69 : 825.46 = 185.36 : x
  2. Step 2: Convert to fraction form
    550.69/825.46 = 185.36/x
  3. Step 3: Cross multiply
    550.69x = 825.46 × 185.36
  4. Step 4: Simplify right side
    550.69x = 153,003.14
  5. Step 5: Solve for x
    x = 153,003.14/550.69
  6. Step 6: Final answer
    x = 277.84

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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.