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Finding the Fourth Proportional to 550.48, 825.92 and 165.76

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Solution

The fourth proportional to 550.48, 825.92 and 165.76 is: 248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.48 : 825.92 = 165.76 : x
  2. Step 2: Convert to fraction form
    550.48/825.92 = 165.76/x
  3. Step 3: Cross multiply
    550.48x = 825.92 × 165.76
  4. Step 4: Simplify right side
    550.48x = 136,904.50
  5. Step 5: Solve for x
    x = 136,904.50/550.48
  6. Step 6: Final answer
    x = 248.70

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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.