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Finding the Fourth Proportional to 294.64, 406.82 and 196.62

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Solution

The fourth proportional to 294.64, 406.82 and 196.62 is: 271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.64 : 406.82 = 196.62 : x
  2. Step 2: Convert to fraction form
    294.64/406.82 = 196.62/x
  3. Step 3: Cross multiply
    294.64x = 406.82 × 196.62
  4. Step 4: Simplify right side
    294.64x = 79,988.95
  5. Step 5: Solve for x
    x = 79,988.95/294.64
  6. Step 6: Final answer
    x = 271.48

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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.