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Finding the Fourth Proportional to 196.14, 270.18 and 154.65

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Solution

The fourth proportional to 196.14, 270.18 and 154.65 is: 213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.14 : 270.18 = 154.65 : x
  2. Step 2: Convert to fraction form
    196.14/270.18 = 154.65/x
  3. Step 3: Cross multiply
    196.14x = 270.18 × 154.65
  4. Step 4: Simplify right side
    196.14x = 41,783.34
  5. Step 5: Solve for x
    x = 41,783.34/196.14
  6. Step 6: Final answer
    x = 213.03

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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.