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Finding the Fourth Proportional to 323.15, 445.77 and 225.14

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Solution

The fourth proportional to 323.15, 445.77 and 225.14 is: 310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.15 : 445.77 = 225.14 : x
  2. Step 2: Convert to fraction form
    323.15/445.77 = 225.14/x
  3. Step 3: Cross multiply
    323.15x = 445.77 × 225.14
  4. Step 4: Simplify right side
    323.15x = 100,358.43
  5. Step 5: Solve for x
    x = 100,358.43/323.15
  6. Step 6: Final answer
    x = 310.57

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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.