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Finding the Fourth Proportional to 196.94, 271.78 and 114.08

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Solution

The fourth proportional to 196.94, 271.78 and 114.08 is: 157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.94 : 271.78 = 114.08 : x
  2. Step 2: Convert to fraction form
    196.94/271.78 = 114.08/x
  3. Step 3: Cross multiply
    196.94x = 271.78 × 114.08
  4. Step 4: Simplify right side
    196.94x = 31,003.91
  5. Step 5: Solve for x
    x = 31,003.91/196.94
  6. Step 6: Final answer
    x = 157.43

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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.