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Finding the Fourth Proportional to 263.94, 364.19 and 181.25

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Solution

The fourth proportional to 263.94, 364.19 and 181.25 is: 250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.94 : 364.19 = 181.25 : x
  2. Step 2: Convert to fraction form
    263.94/364.19 = 181.25/x
  3. Step 3: Cross multiply
    263.94x = 364.19 × 181.25
  4. Step 4: Simplify right side
    263.94x = 66,009.44
  5. Step 5: Solve for x
    x = 66,009.44/263.94
  6. Step 6: Final answer
    x = 250.09

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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.