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Finding the Fourth Proportional to 548.60, 822.86 and 163.85

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Solution

The fourth proportional to 548.60, 822.86 and 163.85 is: 245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.60 : 822.86 = 163.85 : x
  2. Step 2: Convert to fraction form
    548.60/822.86 = 163.85/x
  3. Step 3: Cross multiply
    548.60x = 822.86 × 163.85
  4. Step 4: Simplify right side
    548.60x = 134,824.79
  5. Step 5: Solve for x
    x = 134,824.79/548.60
  6. Step 6: Final answer
    x = 245.76

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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.