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Finding the Fourth Proportional to 322.56, 445.28 and 206.14

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Solution

The fourth proportional to 322.56, 445.28 and 206.14 is: 284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.56 : 445.28 = 206.14 : x
  2. Step 2: Convert to fraction form
    322.56/445.28 = 206.14/x
  3. Step 3: Cross multiply
    322.56x = 445.28 × 206.14
  4. Step 4: Simplify right side
    322.56x = 91,790.02
  5. Step 5: Solve for x
    x = 91,790.02/322.56
  6. Step 6: Final answer
    x = 284.57

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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.