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Finding the Fourth Proportional to 196.56, 267.57 and 195.95

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Solution

The fourth proportional to 196.56, 267.57 and 195.95 is: 266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.56 : 267.57 = 195.95 : x
  2. Step 2: Convert to fraction form
    196.56/267.57 = 195.95/x
  3. Step 3: Cross multiply
    196.56x = 267.57 × 195.95
  4. Step 4: Simplify right side
    196.56x = 52,431.01
  5. Step 5: Solve for x
    x = 52,431.01/196.56
  6. Step 6: Final answer
    x = 266.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.