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Finding the Fourth Proportional to 263.78, 364.24 and 198.16

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Solution

The fourth proportional to 263.78, 364.24 and 198.16 is: 273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.78 : 364.24 = 198.16 : x
  2. Step 2: Convert to fraction form
    263.78/364.24 = 198.16/x
  3. Step 3: Cross multiply
    263.78x = 364.24 × 198.16
  4. Step 4: Simplify right side
    263.78x = 72,177.80
  5. Step 5: Solve for x
    x = 72,177.80/263.78
  6. Step 6: Final answer
    x = 273.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.