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Finding the Fourth Proportional to 548.97, 823.53 and 202.26

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Solution

The fourth proportional to 548.97, 823.53 and 202.26 is: 303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.97 : 823.53 = 202.26 : x
  2. Step 2: Convert to fraction form
    548.97/823.53 = 202.26/x
  3. Step 3: Cross multiply
    548.97x = 823.53 × 202.26
  4. Step 4: Simplify right side
    548.97x = 166,567.18
  5. Step 5: Solve for x
    x = 166,567.18/548.97
  6. Step 6: Final answer
    x = 303.42

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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.