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Finding the Fourth Proportional to 548.69, 823.02 and 137.82

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Solution

The fourth proportional to 548.69, 823.02 and 137.82 is: 206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.69 : 823.02 = 137.82 : x
  2. Step 2: Convert to fraction form
    548.69/823.02 = 137.82/x
  3. Step 3: Cross multiply
    548.69x = 823.02 × 137.82
  4. Step 4: Simplify right side
    548.69x = 113,428.62
  5. Step 5: Solve for x
    x = 113,428.62/548.69
  6. Step 6: Final answer
    x = 206.73

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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.