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Finding the Fourth Proportional to 196.64, 271.09 and 157.43

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Solution

The fourth proportional to 196.64, 271.09 and 157.43 is: 217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.64 : 271.09 = 157.43 : x
  2. Step 2: Convert to fraction form
    196.64/271.09 = 157.43/x
  3. Step 3: Cross multiply
    196.64x = 271.09 × 157.43
  4. Step 4: Simplify right side
    196.64x = 42,677.70
  5. Step 5: Solve for x
    x = 42,677.70/196.64
  6. Step 6: Final answer
    x = 217.03

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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.