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Finding the Fourth Proportional to 196.08, 294.09 and 80.59

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Solution

The fourth proportional to 196.08, 294.09 and 80.59 is: 120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.08 : 294.09 = 80.59 : x
  2. Step 2: Convert to fraction form
    196.08/294.09 = 80.59/x
  3. Step 3: Cross multiply
    196.08x = 294.09 × 80.59
  4. Step 4: Simplify right side
    196.08x = 23,700.71
  5. Step 5: Solve for x
    x = 23,700.71/196.08
  6. Step 6: Final answer
    x = 120.87

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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.