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Finding the Fourth Proportional to 322.98, 445.33 and 212.22

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Solution

The fourth proportional to 322.98, 445.33 and 212.22 is: 292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.98 : 445.33 = 212.22 : x
  2. Step 2: Convert to fraction form
    322.98/445.33 = 212.22/x
  3. Step 3: Cross multiply
    322.98x = 445.33 × 212.22
  4. Step 4: Simplify right side
    322.98x = 94,505.71
  5. Step 5: Solve for x
    x = 94,505.71/322.98
  6. Step 6: Final answer
    x = 292.61

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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.