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Finding the Fourth Proportional to 318.41, 477.92 and 196.91

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Solution

The fourth proportional to 318.41, 477.92 and 196.91 is: 295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.41 : 477.92 = 196.91 : x
  2. Step 2: Convert to fraction form
    318.41/477.92 = 196.91/x
  3. Step 3: Cross multiply
    318.41x = 477.92 × 196.91
  4. Step 4: Simplify right side
    318.41x = 94,106.24
  5. Step 5: Solve for x
    x = 94,106.24/318.41
  6. Step 6: Final answer
    x = 295.55

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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.