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Finding the Fourth Proportional to 293.38, 404.48 and 182.66

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Solution

The fourth proportional to 293.38, 404.48 and 182.66 is: 251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.38 : 404.48 = 182.66 : x
  2. Step 2: Convert to fraction form
    293.38/404.48 = 182.66/x
  3. Step 3: Cross multiply
    293.38x = 404.48 × 182.66
  4. Step 4: Simplify right side
    293.38x = 73,882.32
  5. Step 5: Solve for x
    x = 73,882.32/293.38
  6. Step 6: Final answer
    x = 251.83

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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.