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Finding the Fourth Proportional to 548.98, 823.55 and 202.23

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Solution

The fourth proportional to 548.98, 823.55 and 202.23 is: 303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.98 : 823.55 = 202.23 : x
  2. Step 2: Convert to fraction form
    548.98/823.55 = 202.23/x
  3. Step 3: Cross multiply
    548.98x = 823.55 × 202.23
  4. Step 4: Simplify right side
    548.98x = 166,546.52
  5. Step 5: Solve for x
    x = 166,546.52/548.98
  6. Step 6: Final answer
    x = 303.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.