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Finding the Fourth Proportional to 215.56, 323.16 and 196.30

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Solution

The fourth proportional to 215.56, 323.16 and 196.30 is: 294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.56 : 323.16 = 196.30 : x
  2. Step 2: Convert to fraction form
    215.56/323.16 = 196.30/x
  3. Step 3: Cross multiply
    215.56x = 323.16 × 196.30
  4. Step 4: Simplify right side
    215.56x = 63,436.31
  5. Step 5: Solve for x
    x = 63,436.31/215.56
  6. Step 6: Final answer
    x = 294.29

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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.