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Finding the Fourth Proportional to 196.59, 271.33 and 116.88

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Solution

The fourth proportional to 196.59, 271.33 and 116.88 is: 161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.59 : 271.33 = 116.88 : x
  2. Step 2: Convert to fraction form
    196.59/271.33 = 116.88/x
  3. Step 3: Cross multiply
    196.59x = 271.33 × 116.88
  4. Step 4: Simplify right side
    196.59x = 31,713.05
  5. Step 5: Solve for x
    x = 31,713.05/196.59
  6. Step 6: Final answer
    x = 161.32

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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.