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Finding the Fourth Proportional to 547.22, 820.76 and 162.44

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Solution

The fourth proportional to 547.22, 820.76 and 162.44 is: 243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.22 : 820.76 = 162.44 : x
  2. Step 2: Convert to fraction form
    547.22/820.76 = 162.44/x
  3. Step 3: Cross multiply
    547.22x = 820.76 × 162.44
  4. Step 4: Simplify right side
    547.22x = 133,324.25
  5. Step 5: Solve for x
    x = 133,324.25/547.22
  6. Step 6: Final answer
    x = 243.64

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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.