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Finding the Fourth Proportional to 322.96, 445.73 and 183.13

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Solution

The fourth proportional to 322.96, 445.73 and 183.13 is: 252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.96 : 445.73 = 183.13 : x
  2. Step 2: Convert to fraction form
    322.96/445.73 = 183.13/x
  3. Step 3: Cross multiply
    322.96x = 445.73 × 183.13
  4. Step 4: Simplify right side
    322.96x = 81,626.53
  5. Step 5: Solve for x
    x = 81,626.53/322.96
  6. Step 6: Final answer
    x = 252.75

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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.