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Finding the Fourth Proportional to 196.70, 272.04 and 193.46

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Solution

The fourth proportional to 196.70, 272.04 and 193.46 is: 267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.70 : 272.04 = 193.46 : x
  2. Step 2: Convert to fraction form
    196.70/272.04 = 193.46/x
  3. Step 3: Cross multiply
    196.70x = 272.04 × 193.46
  4. Step 4: Simplify right side
    196.70x = 52,628.86
  5. Step 5: Solve for x
    x = 52,628.86/196.70
  6. Step 6: Final answer
    x = 267.56

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Why These Related Problems?

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