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Finding the Fourth Proportional to 213.98, 321.15 and 92.34

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Solution

The fourth proportional to 213.98, 321.15 and 92.34 is: 138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.98 : 321.15 = 92.34 : x
  2. Step 2: Convert to fraction form
    213.98/321.15 = 92.34/x
  3. Step 3: Cross multiply
    213.98x = 321.15 × 92.34
  4. Step 4: Simplify right side
    213.98x = 29,653.39
  5. Step 5: Solve for x
    x = 29,653.39/213.98
  6. Step 6: Final answer
    x = 138.58

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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.