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Finding the Fourth Proportional to 440.24, 660.78 and 196.92

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Solution

The fourth proportional to 440.24, 660.78 and 196.92 is: 295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.24 : 660.78 = 196.92 : x
  2. Step 2: Convert to fraction form
    440.24/660.78 = 196.92/x
  3. Step 3: Cross multiply
    440.24x = 660.78 × 196.92
  4. Step 4: Simplify right side
    440.24x = 130,120.80
  5. Step 5: Solve for x
    x = 130,120.80/440.24
  6. Step 6: Final answer
    x = 295.57

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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.