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Finding the Fourth Proportional to 196.21, 270.39 and 154.81

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Solution

The fourth proportional to 196.21, 270.39 and 154.81 is: 213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.21 : 270.39 = 154.81 : x
  2. Step 2: Convert to fraction form
    196.21/270.39 = 154.81/x
  3. Step 3: Cross multiply
    196.21x = 270.39 × 154.81
  4. Step 4: Simplify right side
    196.21x = 41,859.08
  5. Step 5: Solve for x
    x = 41,859.08/196.21
  6. Step 6: Final answer
    x = 213.34

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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.