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Finding the Fourth Proportional to 196.13, 294.20 and 51.86

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Solution

The fourth proportional to 196.13, 294.20 and 51.86 is: 77.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.13 : 294.20 = 51.86 : x
  2. Step 2: Convert to fraction form
    196.13/294.20 = 51.86/x
  3. Step 3: Cross multiply
    196.13x = 294.20 × 51.86
  4. Step 4: Simplify right side
    196.13x = 15,257.21
  5. Step 5: Solve for x
    x = 15,257.21/196.13
  6. Step 6: Final answer
    x = 77.79

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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.