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Finding the Fourth Proportional to 323.12, 445.87 and 190.35

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Solution

The fourth proportional to 323.12, 445.87 and 190.35 is: 262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.12 : 445.87 = 190.35 : x
  2. Step 2: Convert to fraction form
    323.12/445.87 = 190.35/x
  3. Step 3: Cross multiply
    323.12x = 445.87 × 190.35
  4. Step 4: Simplify right side
    323.12x = 84,871.59
  5. Step 5: Solve for x
    x = 84,871.59/323.12
  6. Step 6: Final answer
    x = 262.66

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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.