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Finding the Fourth Proportional to 293.10, 404.52 and 182.69

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Solution

The fourth proportional to 293.10, 404.52 and 182.69 is: 252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.10 : 404.52 = 182.69 : x
  2. Step 2: Convert to fraction form
    293.10/404.52 = 182.69/x
  3. Step 3: Cross multiply
    293.10x = 404.52 × 182.69
  4. Step 4: Simplify right side
    293.10x = 73,900.85
  5. Step 5: Solve for x
    x = 73,900.85/293.10
  6. Step 6: Final answer
    x = 252.14

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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.