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Finding the Fourth Proportional to 196, 270.46 and 154.42

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Solution

The fourth proportional to 196, 270.46 and 154.42 is: 213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    196 : 270.46 = 154.42 : x
  2. Step 2: Convert to fraction form
    196/270.46 = 154.42/x
  3. Step 3: Cross multiply
    196x = 270.46 × 154.42
  4. Step 4: Simplify right side
    196x = 41,764.43
  5. Step 5: Solve for x
    x = 41,764.43/196
  6. Step 6: Final answer
    x = 213.08

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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.