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Finding the Fourth Proportional to 196.85, 271.64 and 113.94

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Solution

The fourth proportional to 196.85, 271.64 and 113.94 is: 157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.85 : 271.64 = 113.94 : x
  2. Step 2: Convert to fraction form
    196.85/271.64 = 113.94/x
  3. Step 3: Cross multiply
    196.85x = 271.64 × 113.94
  4. Step 4: Simplify right side
    196.85x = 30,950.66
  5. Step 5: Solve for x
    x = 30,950.66/196.85
  6. Step 6: Final answer
    x = 157.23

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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.