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Finding the Fourth Proportional to 550.37, 825.61 and 185.19

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Solution

The fourth proportional to 550.37, 825.61 and 185.19 is: 277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.37 : 825.61 = 185.19 : x
  2. Step 2: Convert to fraction form
    550.37/825.61 = 185.19/x
  3. Step 3: Cross multiply
    550.37x = 825.61 × 185.19
  4. Step 4: Simplify right side
    550.37x = 152,894.72
  5. Step 5: Solve for x
    x = 152,894.72/550.37
  6. Step 6: Final answer
    x = 277.80

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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.