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Finding the Fourth Proportional to 213.25, 319.84 and 68.97

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Solution

The fourth proportional to 213.25, 319.84 and 68.97 is: 103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.25 : 319.84 = 68.97 : x
  2. Step 2: Convert to fraction form
    213.25/319.84 = 68.97/x
  3. Step 3: Cross multiply
    213.25x = 319.84 × 68.97
  4. Step 4: Simplify right side
    213.25x = 22,058.22
  5. Step 5: Solve for x
    x = 22,058.22/213.25
  6. Step 6: Final answer
    x = 103.44

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