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Finding the Fourth Proportional to 550.09, 825.26 and 184.90

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Solution

The fourth proportional to 550.09, 825.26 and 184.90 is: 277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.09 : 825.26 = 184.90 : x
  2. Step 2: Convert to fraction form
    550.09/825.26 = 184.90/x
  3. Step 3: Cross multiply
    550.09x = 825.26 × 184.90
  4. Step 4: Simplify right side
    550.09x = 152,590.57
  5. Step 5: Solve for x
    x = 152,590.57/550.09
  6. Step 6: Final answer
    x = 277.39

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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.