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Finding the Fourth Proportional to 215.61, 324.58 and 196.47

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Solution

The fourth proportional to 215.61, 324.58 and 196.47 is: 295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.61 : 324.58 = 196.47 : x
  2. Step 2: Convert to fraction form
    215.61/324.58 = 196.47/x
  3. Step 3: Cross multiply
    215.61x = 324.58 × 196.47
  4. Step 4: Simplify right side
    215.61x = 63,770.23
  5. Step 5: Solve for x
    x = 63,770.23/215.61
  6. Step 6: Final answer
    x = 295.77

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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.