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Finding the Fourth Proportional to 263.97, 364.34 and 181.11

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Solution

The fourth proportional to 263.97, 364.34 and 181.11 is: 249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.97 : 364.34 = 181.11 : x
  2. Step 2: Convert to fraction form
    263.97/364.34 = 181.11/x
  3. Step 3: Cross multiply
    263.97x = 364.34 × 181.11
  4. Step 4: Simplify right side
    263.97x = 65,985.62
  5. Step 5: Solve for x
    x = 65,985.62/263.97
  6. Step 6: Final answer
    x = 249.97

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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.