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Finding the Fourth Proportional to 323.26, 446.07 and 183.34

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Solution

The fourth proportional to 323.26, 446.07 and 183.34 is: 252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.26 : 446.07 = 183.34 : x
  2. Step 2: Convert to fraction form
    323.26/446.07 = 183.34/x
  3. Step 3: Cross multiply
    323.26x = 446.07 × 183.34
  4. Step 4: Simplify right side
    323.26x = 81,782.47
  5. Step 5: Solve for x
    x = 81,782.47/323.26
  6. Step 6: Final answer
    x = 252.99

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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.