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Finding the Fourth Proportional to 550.69, 825.86 and 185.39

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Solution

The fourth proportional to 550.69, 825.86 and 185.39 is: 278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.69 : 825.86 = 185.39 : x
  2. Step 2: Convert to fraction form
    550.69/825.86 = 185.39/x
  3. Step 3: Cross multiply
    550.69x = 825.86 × 185.39
  4. Step 4: Simplify right side
    550.69x = 153,105.72
  5. Step 5: Solve for x
    x = 153,105.72/550.69
  6. Step 6: Final answer
    x = 278.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.