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Finding the Fourth Proportional to 196.68, 271.23 and 130.19

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Solution

The fourth proportional to 196.68, 271.23 and 130.19 is: 179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.68 : 271.23 = 130.19 : x
  2. Step 2: Convert to fraction form
    196.68/271.23 = 130.19/x
  3. Step 3: Cross multiply
    196.68x = 271.23 × 130.19
  4. Step 4: Simplify right side
    196.68x = 35,310.08
  5. Step 5: Solve for x
    x = 35,310.08/196.68
  6. Step 6: Final answer
    x = 179.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.