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Finding the Fourth Proportional to 196.88, 271.69 and 109.55

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Solution

The fourth proportional to 196.88, 271.69 and 109.55 is: 151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.88 : 271.69 = 109.55 : x
  2. Step 2: Convert to fraction form
    196.88/271.69 = 109.55/x
  3. Step 3: Cross multiply
    196.88x = 271.69 × 109.55
  4. Step 4: Simplify right side
    196.88x = 29,764.04
  5. Step 5: Solve for x
    x = 29,764.04/196.88
  6. Step 6: Final answer
    x = 151.18

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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.