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Finding the Fourth Proportional to 196.80, 270.64 and 157.92

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Solution

The fourth proportional to 196.80, 270.64 and 157.92 is: 217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.80 : 270.64 = 157.92 : x
  2. Step 2: Convert to fraction form
    196.80/270.64 = 157.92/x
  3. Step 3: Cross multiply
    196.80x = 270.64 × 157.92
  4. Step 4: Simplify right side
    196.80x = 42,739.47
  5. Step 5: Solve for x
    x = 42,739.47/196.80
  6. Step 6: Final answer
    x = 217.17

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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.