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Finding the Fourth Proportional to 214.31, 321.41 and 84.31

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Solution

The fourth proportional to 214.31, 321.41 and 84.31 is: 126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.31 : 321.41 = 84.31 : x
  2. Step 2: Convert to fraction form
    214.31/321.41 = 84.31/x
  3. Step 3: Cross multiply
    214.31x = 321.41 × 84.31
  4. Step 4: Simplify right side
    214.31x = 27,098.08
  5. Step 5: Solve for x
    x = 27,098.08/214.31
  6. Step 6: Final answer
    x = 126.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.