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Finding the Fourth Proportional to 322.83, 445.64 and 206.37

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Solution

The fourth proportional to 322.83, 445.64 and 206.37 is: 284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.83 : 445.64 = 206.37 : x
  2. Step 2: Convert to fraction form
    322.83/445.64 = 206.37/x
  3. Step 3: Cross multiply
    322.83x = 445.64 × 206.37
  4. Step 4: Simplify right side
    322.83x = 91,965.69
  5. Step 5: Solve for x
    x = 91,965.69/322.83
  6. Step 6: Final answer
    x = 284.87

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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.