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Finding the Fourth Proportional to 550.85, 825.77 and 185.54

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Solution

The fourth proportional to 550.85, 825.77 and 185.54 is: 278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.85 : 825.77 = 185.54 : x
  2. Step 2: Convert to fraction form
    550.85/825.77 = 185.54/x
  3. Step 3: Cross multiply
    550.85x = 825.77 × 185.54
  4. Step 4: Simplify right side
    550.85x = 153,215.89
  5. Step 5: Solve for x
    x = 153,215.89/550.85
  6. Step 6: Final answer
    x = 278.14

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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.