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Finding the Fourth Proportional to 323.50, 446.43 and 183.61

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Solution

The fourth proportional to 323.50, 446.43 and 183.61 is: 253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.50 : 446.43 = 183.61 : x
  2. Step 2: Convert to fraction form
    323.50/446.43 = 183.61/x
  3. Step 3: Cross multiply
    323.50x = 446.43 × 183.61
  4. Step 4: Simplify right side
    323.50x = 81,969.01
  5. Step 5: Solve for x
    x = 81,969.01/323.50
  6. Step 6: Final answer
    x = 253.38

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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.