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Finding the Fourth Proportional to 323, 445.75 and 181.22

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Solution

The fourth proportional to 323, 445.75 and 181.22 is: 250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    323 : 445.75 = 181.22 : x
  2. Step 2: Convert to fraction form
    323/445.75 = 181.22/x
  3. Step 3: Cross multiply
    323x = 445.75 × 181.22
  4. Step 4: Simplify right side
    323x = 80,776.59
  5. Step 5: Solve for x
    x = 80,776.59/323
  6. Step 6: Final answer
    x = 250.08

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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.