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Finding the Fourth Proportional to 548.03, 822.05 and 223.19

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Solution

The fourth proportional to 548.03, 822.05 and 223.19 is: 334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.03 : 822.05 = 223.19 : x
  2. Step 2: Convert to fraction form
    548.03/822.05 = 223.19/x
  3. Step 3: Cross multiply
    548.03x = 822.05 × 223.19
  4. Step 4: Simplify right side
    548.03x = 183,472.03
  5. Step 5: Solve for x
    x = 183,472.03/548.03
  6. Step 6: Final answer
    x = 334.78

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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.