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Finding the Fourth Proportional to 550.50, 825.82 and 165.75

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Solution

The fourth proportional to 550.50, 825.82 and 165.75 is: 248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.50 : 825.82 = 165.75 : x
  2. Step 2: Convert to fraction form
    550.50/825.82 = 165.75/x
  3. Step 3: Cross multiply
    550.50x = 825.82 × 165.75
  4. Step 4: Simplify right side
    550.50x = 136,879.67
  5. Step 5: Solve for x
    x = 136,879.67/550.50
  6. Step 6: Final answer
    x = 248.65

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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.