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Finding the Fourth Proportional to 325.12, 487.20 and 196.56

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Solution

The fourth proportional to 325.12, 487.20 and 196.56 is: 294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.12 : 487.20 = 196.56 : x
  2. Step 2: Convert to fraction form
    325.12/487.20 = 196.56/x
  3. Step 3: Cross multiply
    325.12x = 487.20 × 196.56
  4. Step 4: Simplify right side
    325.12x = 95,764.03
  5. Step 5: Solve for x
    x = 95,764.03/325.12
  6. Step 6: Final answer
    x = 294.55

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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.