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Finding the Fourth Proportional to 547.78, 821.81 and 163.02

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Solution

The fourth proportional to 547.78, 821.81 and 163.02 is: 244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.78 : 821.81 = 163.02 : x
  2. Step 2: Convert to fraction form
    547.78/821.81 = 163.02/x
  3. Step 3: Cross multiply
    547.78x = 821.81 × 163.02
  4. Step 4: Simplify right side
    547.78x = 133,971.47
  5. Step 5: Solve for x
    x = 133,971.47/547.78
  6. Step 6: Final answer
    x = 244.57

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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.