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Finding the Fourth Proportional to 322.16, 444.90 and 211.71

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Solution

The fourth proportional to 322.16, 444.90 and 211.71 is: 292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.16 : 444.90 = 211.71 : x
  2. Step 2: Convert to fraction form
    322.16/444.90 = 211.71/x
  3. Step 3: Cross multiply
    322.16x = 444.90 × 211.71
  4. Step 4: Simplify right side
    322.16x = 94,189.78
  5. Step 5: Solve for x
    x = 94,189.78/322.16
  6. Step 6: Final answer
    x = 292.37

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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.