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Finding the Fourth Proportional to 548.17, 822.25 and 182.96

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Solution

The fourth proportional to 548.17, 822.25 and 182.96 is: 274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.17 : 822.25 = 182.96 : x
  2. Step 2: Convert to fraction form
    548.17/822.25 = 182.96/x
  3. Step 3: Cross multiply
    548.17x = 822.25 × 182.96
  4. Step 4: Simplify right side
    548.17x = 150,438.86
  5. Step 5: Solve for x
    x = 150,438.86/548.17
  6. Step 6: Final answer
    x = 274.44

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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.