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Finding the Fourth Proportional to 286.28, 394.89 and 181.34

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Solution

The fourth proportional to 286.28, 394.89 and 181.34 is: 250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.28 : 394.89 = 181.34 : x
  2. Step 2: Convert to fraction form
    286.28/394.89 = 181.34/x
  3. Step 3: Cross multiply
    286.28x = 394.89 × 181.34
  4. Step 4: Simplify right side
    286.28x = 71,609.20
  5. Step 5: Solve for x
    x = 71,609.20/286.28
  6. Step 6: Final answer
    x = 250.13

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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.