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Finding the Fourth Proportional to 196.68, 271.74 and 185.88

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Solution

The fourth proportional to 196.68, 271.74 and 185.88 is: 256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.68 : 271.74 = 185.88 : x
  2. Step 2: Convert to fraction form
    196.68/271.74 = 185.88/x
  3. Step 3: Cross multiply
    196.68x = 271.74 × 185.88
  4. Step 4: Simplify right side
    196.68x = 50,511.03
  5. Step 5: Solve for x
    x = 50,511.03/196.68
  6. Step 6: Final answer
    x = 256.82

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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.