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Finding the Fourth Proportional to 196.05, 270.02 and 154.55

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Solution

The fourth proportional to 196.05, 270.02 and 154.55 is: 212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.05 : 270.02 = 154.55 : x
  2. Step 2: Convert to fraction form
    196.05/270.02 = 154.55/x
  3. Step 3: Cross multiply
    196.05x = 270.02 × 154.55
  4. Step 4: Simplify right side
    196.05x = 41,729.47
  5. Step 5: Solve for x
    x = 41,729.47/196.05
  6. Step 6: Final answer
    x = 212.85

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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.