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Finding the Fourth Proportional to 293.09, 404.57 and 182.75

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Solution

The fourth proportional to 293.09, 404.57 and 182.75 is: 252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.09 : 404.57 = 182.75 : x
  2. Step 2: Convert to fraction form
    293.09/404.57 = 182.75/x
  3. Step 3: Cross multiply
    293.09x = 404.57 × 182.75
  4. Step 4: Simplify right side
    293.09x = 73,934.25
  5. Step 5: Solve for x
    x = 73,934.25/293.09
  6. Step 6: Final answer
    x = 252.26

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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.