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Finding the Fourth Proportional to 322.50, 445.10 and 206.31

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Solution

The fourth proportional to 322.50, 445.10 and 206.31 is: 284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.50 : 445.10 = 206.31 : x
  2. Step 2: Convert to fraction form
    322.50/445.10 = 206.31/x
  3. Step 3: Cross multiply
    322.50x = 445.10 × 206.31
  4. Step 4: Simplify right side
    322.50x = 91,827.55
  5. Step 5: Solve for x
    x = 91,827.55/322.50
  6. Step 6: Final answer
    x = 284.74

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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.