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Finding the Fourth Proportional to 293.30, 404.92 and 182.83

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Solution

The fourth proportional to 293.30, 404.92 and 182.83 is: 252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.30 : 404.92 = 182.83 : x
  2. Step 2: Convert to fraction form
    293.30/404.92 = 182.83/x
  3. Step 3: Cross multiply
    293.30x = 404.92 × 182.83
  4. Step 4: Simplify right side
    293.30x = 74,030.05
  5. Step 5: Solve for x
    x = 74,030.05/293.30
  6. Step 6: Final answer
    x = 252.41

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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.