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Finding the Fourth Proportional to 548.06, 821.76 and 182.64

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Solution

The fourth proportional to 548.06, 821.76 and 182.64 is: 273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.06 : 821.76 = 182.64 : x
  2. Step 2: Convert to fraction form
    548.06/821.76 = 182.64/x
  3. Step 3: Cross multiply
    548.06x = 821.76 × 182.64
  4. Step 4: Simplify right side
    548.06x = 150,086.25
  5. Step 5: Solve for x
    x = 150,086.25/548.06
  6. Step 6: Final answer
    x = 273.85

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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.