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Finding the Fourth Proportional to 196.18, 270.79 and 157.11

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Solution

The fourth proportional to 196.18, 270.79 and 157.11 is: 216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.18 : 270.79 = 157.11 : x
  2. Step 2: Convert to fraction form
    196.18/270.79 = 157.11/x
  3. Step 3: Cross multiply
    196.18x = 270.79 × 157.11
  4. Step 4: Simplify right side
    196.18x = 42,544.73
  5. Step 5: Solve for x
    x = 42,544.73/196.18
  6. Step 6: Final answer
    x = 216.86

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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.