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Finding the Fourth Proportional to 322.67, 445.35 and 206.16

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Solution

The fourth proportional to 322.67, 445.35 and 206.16 is: 284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.67 : 445.35 = 206.16 : x
  2. Step 2: Convert to fraction form
    322.67/445.35 = 206.16/x
  3. Step 3: Cross multiply
    322.67x = 445.35 × 206.16
  4. Step 4: Simplify right side
    322.67x = 91,813.36
  5. Step 5: Solve for x
    x = 91,813.36/322.67
  6. Step 6: Final answer
    x = 284.55

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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.