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Finding the Fourth Proportional to 550.62, 825.95 and 160.55

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Solution

The fourth proportional to 550.62, 825.95 and 160.55 is: 240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.62 : 825.95 = 160.55 : x
  2. Step 2: Convert to fraction form
    550.62/825.95 = 160.55/x
  3. Step 3: Cross multiply
    550.62x = 825.95 × 160.55
  4. Step 4: Simplify right side
    550.62x = 132,607.50
  5. Step 5: Solve for x
    x = 132,607.50/550.62
  6. Step 6: Final answer
    x = 240.83

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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.