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Finding the Fourth Proportional to 275.21, 379.84 and 181.96

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Solution

The fourth proportional to 275.21, 379.84 and 181.96 is: 251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.21 : 379.84 = 181.96 : x
  2. Step 2: Convert to fraction form
    275.21/379.84 = 181.96/x
  3. Step 3: Cross multiply
    275.21x = 379.84 × 181.96
  4. Step 4: Simplify right side
    275.21x = 69,115.69
  5. Step 5: Solve for x
    x = 69,115.69/275.21
  6. Step 6: Final answer
    x = 251.14

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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.