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Finding the Fourth Proportional to 293.23, 404.61 and 182.68

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Solution

The fourth proportional to 293.23, 404.61 and 182.68 is: 252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.23 : 404.61 = 182.68 : x
  2. Step 2: Convert to fraction form
    293.23/404.61 = 182.68/x
  3. Step 3: Cross multiply
    293.23x = 404.61 × 182.68
  4. Step 4: Simplify right side
    293.23x = 73,914.15
  5. Step 5: Solve for x
    x = 73,914.15/293.23
  6. Step 6: Final answer
    x = 252.07

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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.