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Finding the Fourth Proportional to 548.17, 821.86 and 223.27

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Solution

The fourth proportional to 548.17, 821.86 and 223.27 is: 334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.17 : 821.86 = 223.27 : x
  2. Step 2: Convert to fraction form
    548.17/821.86 = 223.27/x
  3. Step 3: Cross multiply
    548.17x = 821.86 × 223.27
  4. Step 4: Simplify right side
    548.17x = 183,496.68
  5. Step 5: Solve for x
    x = 183,496.68/548.17
  6. Step 6: Final answer
    x = 334.74

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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.