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Finding the Fourth Proportional to 263.54, 396.03 and 181.82

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Solution

The fourth proportional to 263.54, 396.03 and 181.82 is: 273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.54 : 396.03 = 181.82 : x
  2. Step 2: Convert to fraction form
    263.54/396.03 = 181.82/x
  3. Step 3: Cross multiply
    263.54x = 396.03 × 181.82
  4. Step 4: Simplify right side
    263.54x = 72,006.17
  5. Step 5: Solve for x
    x = 72,006.17/263.54
  6. Step 6: Final answer
    x = 273.23

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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.