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Finding the Fourth Proportional to 215.33, 324.17 and 196.19

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Solution

The fourth proportional to 215.33, 324.17 and 196.19 is: 295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.33 : 324.17 = 196.19 : x
  2. Step 2: Convert to fraction form
    215.33/324.17 = 196.19/x
  3. Step 3: Cross multiply
    215.33x = 324.17 × 196.19
  4. Step 4: Simplify right side
    215.33x = 63,599.64
  5. Step 5: Solve for x
    x = 63,599.64/215.33
  6. Step 6: Final answer
    x = 295.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.