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Finding the Fourth Proportional to 294.47, 406.46 and 196.20

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Solution

The fourth proportional to 294.47, 406.46 and 196.20 is: 270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.47 : 406.46 = 196.20 : x
  2. Step 2: Convert to fraction form
    294.47/406.46 = 196.20/x
  3. Step 3: Cross multiply
    294.47x = 406.46 × 196.20
  4. Step 4: Simplify right side
    294.47x = 79,747.45
  5. Step 5: Solve for x
    x = 79,747.45/294.47
  6. Step 6: Final answer
    x = 270.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.