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Finding the Fourth Proportional to 550.40, 825.68 and 165.64

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Solution

The fourth proportional to 550.40, 825.68 and 165.64 is: 248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.40 : 825.68 = 165.64 : x
  2. Step 2: Convert to fraction form
    550.40/825.68 = 165.64/x
  3. Step 3: Cross multiply
    550.40x = 825.68 × 165.64
  4. Step 4: Simplify right side
    550.40x = 136,765.64
  5. Step 5: Solve for x
    x = 136,765.64/550.40
  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.