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Finding the Fourth Proportional to 196.96, 271.81 and 114.07

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Solution

The fourth proportional to 196.96, 271.81 and 114.07 is: 157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.96 : 271.81 = 114.07 : x
  2. Step 2: Convert to fraction form
    196.96/271.81 = 114.07/x
  3. Step 3: Cross multiply
    196.96x = 271.81 × 114.07
  4. Step 4: Simplify right side
    196.96x = 31,005.80
  5. Step 5: Solve for x
    x = 31,005.80/196.96
  6. Step 6: Final answer
    x = 157.42

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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.