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Finding the Fourth Proportional to 323.26, 445.91 and 212.69

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Solution

The fourth proportional to 323.26, 445.91 and 212.69 is: 293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.26 : 445.91 = 212.69 : x
  2. Step 2: Convert to fraction form
    323.26/445.91 = 212.69/x
  3. Step 3: Cross multiply
    323.26x = 445.91 × 212.69
  4. Step 4: Simplify right side
    323.26x = 94,840.65
  5. Step 5: Solve for x
    x = 94,840.65/323.26
  6. Step 6: Final answer
    x = 293.39

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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.