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Finding the Fourth Proportional to 275.07, 379.42 and 181.81

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Solution

The fourth proportional to 275.07, 379.42 and 181.81 is: 250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.07 : 379.42 = 181.81 : x
  2. Step 2: Convert to fraction form
    275.07/379.42 = 181.81/x
  3. Step 3: Cross multiply
    275.07x = 379.42 × 181.81
  4. Step 4: Simplify right side
    275.07x = 68,982.35
  5. Step 5: Solve for x
    x = 68,982.35/275.07
  6. Step 6: Final answer
    x = 250.78

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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.