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Finding the Fourth Proportional to 550.40, 825.61 and 165.65

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Solution

The fourth proportional to 550.40, 825.61 and 165.65 is: 248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.40 : 825.61 = 165.65 : x
  2. Step 2: Convert to fraction form
    550.40/825.61 = 165.65/x
  3. Step 3: Cross multiply
    550.40x = 825.61 × 165.65
  4. Step 4: Simplify right side
    550.40x = 136,764.57
  5. Step 5: Solve for x
    x = 136,764.57/550.40
  6. Step 6: Final answer
    x = 248.48

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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.