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Finding the Fourth Proportional to 547.98, 822.05 and 182.81

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Solution

The fourth proportional to 547.98, 822.05 and 182.81 is: 274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.98 : 822.05 = 182.81 : x
  2. Step 2: Convert to fraction form
    547.98/822.05 = 182.81/x
  3. Step 3: Cross multiply
    547.98x = 822.05 × 182.81
  4. Step 4: Simplify right side
    547.98x = 150,273.94
  5. Step 5: Solve for x
    x = 150,273.94/547.98
  6. Step 6: Final answer
    x = 274.23

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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.