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Finding the Fourth Proportional to 215.88, 296.33 and 196.44

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Solution

The fourth proportional to 215.88, 296.33 and 196.44 is: 269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.88 : 296.33 = 196.44 : x
  2. Step 2: Convert to fraction form
    215.88/296.33 = 196.44/x
  3. Step 3: Cross multiply
    215.88x = 296.33 × 196.44
  4. Step 4: Simplify right side
    215.88x = 58,211.07
  5. Step 5: Solve for x
    x = 58,211.07/215.88
  6. Step 6: Final answer
    x = 269.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.