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Finding the Fourth Proportional to 196.29, 294.50 and 80.74

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Solution

The fourth proportional to 196.29, 294.50 and 80.74 is: 121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.29 : 294.50 = 80.74 : x
  2. Step 2: Convert to fraction form
    196.29/294.50 = 80.74/x
  3. Step 3: Cross multiply
    196.29x = 294.50 × 80.74
  4. Step 4: Simplify right side
    196.29x = 23,777.89
  5. Step 5: Solve for x
    x = 23,777.89/196.29
  6. Step 6: Final answer
    x = 121.14

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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.