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Finding the Fourth Proportional to 318.82, 477.62 and 196.78

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Solution

The fourth proportional to 318.82, 477.62 and 196.78 is: 294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.82 : 477.62 = 196.78 : x
  2. Step 2: Convert to fraction form
    318.82/477.62 = 196.78/x
  3. Step 3: Cross multiply
    318.82x = 477.62 × 196.78
  4. Step 4: Simplify right side
    318.82x = 93,986.06
  5. Step 5: Solve for x
    x = 93,986.06/318.82
  6. Step 6: Final answer
    x = 294.79

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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.