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Finding the Fourth Proportional to 548.98, 823.27 and 202.20

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Solution

The fourth proportional to 548.98, 823.27 and 202.20 is: 303.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.98 : 823.27 = 202.20 : x
  2. Step 2: Convert to fraction form
    548.98/823.27 = 202.20/x
  3. Step 3: Cross multiply
    548.98x = 823.27 × 202.20
  4. Step 4: Simplify right side
    548.98x = 166,465.19
  5. Step 5: Solve for x
    x = 166,465.19/548.98
  6. Step 6: Final answer
    x = 303.23

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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.