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Finding the Fourth Proportional to 625.19, 937.90 and 214.22

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Solution

The fourth proportional to 625.19, 937.90 and 214.22 is: 321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.19 : 937.90 = 214.22 : x
  2. Step 2: Convert to fraction form
    625.19/937.90 = 214.22/x
  3. Step 3: Cross multiply
    625.19x = 937.90 × 214.22
  4. Step 4: Simplify right side
    625.19x = 200,917.52
  5. Step 5: Solve for x
    x = 200,917.52/625.19
  6. Step 6: Final answer
    x = 321.37

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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.