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Finding the Fourth Proportional to 323.14, 445.91 and 190.36

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Solution

The fourth proportional to 323.14, 445.91 and 190.36 is: 262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.14 : 445.91 = 190.36 : x
  2. Step 2: Convert to fraction form
    323.14/445.91 = 190.36/x
  3. Step 3: Cross multiply
    323.14x = 445.91 × 190.36
  4. Step 4: Simplify right side
    323.14x = 84,883.43
  5. Step 5: Solve for x
    x = 84,883.43/323.14
  6. Step 6: Final answer
    x = 262.68

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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.