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Finding the Fourth Proportional to 323.06, 445.77 and 206.57

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Solution

The fourth proportional to 323.06, 445.77 and 206.57 is: 285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.06 : 445.77 = 206.57 : x
  2. Step 2: Convert to fraction form
    323.06/445.77 = 206.57/x
  3. Step 3: Cross multiply
    323.06x = 445.77 × 206.57
  4. Step 4: Simplify right side
    323.06x = 92,082.71
  5. Step 5: Solve for x
    x = 92,082.71/323.06
  6. Step 6: Final answer
    x = 285.03

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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.