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Finding the Fourth Proportional to 293.38, 404.84 and 182.85

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Solution

The fourth proportional to 293.38, 404.84 and 182.85 is: 252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.38 : 404.84 = 182.85 : x
  2. Step 2: Convert to fraction form
    293.38/404.84 = 182.85/x
  3. Step 3: Cross multiply
    293.38x = 404.84 × 182.85
  4. Step 4: Simplify right side
    293.38x = 74,024.99
  5. Step 5: Solve for x
    x = 74,024.99/293.38
  6. Step 6: Final answer
    x = 252.32

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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.