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Finding the Fourth Proportional to 196.79, 294.72 and 179.62

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Solution

The fourth proportional to 196.79, 294.72 and 179.62 is: 269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.79 : 294.72 = 179.62 : x
  2. Step 2: Convert to fraction form
    196.79/294.72 = 179.62/x
  3. Step 3: Cross multiply
    196.79x = 294.72 × 179.62
  4. Step 4: Simplify right side
    196.79x = 52,938.86
  5. Step 5: Solve for x
    x = 52,938.86/196.79
  6. Step 6: Final answer
    x = 269.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.