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Finding the Fourth Proportional to 196.98, 271.86 and 114.12

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Solution

The fourth proportional to 196.98, 271.86 and 114.12 is: 157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.98 : 271.86 = 114.12 : x
  2. Step 2: Convert to fraction form
    196.98/271.86 = 114.12/x
  3. Step 3: Cross multiply
    196.98x = 271.86 × 114.12
  4. Step 4: Simplify right side
    196.98x = 31,024.66
  5. Step 5: Solve for x
    x = 31,024.66/196.98
  6. Step 6: Final answer
    x = 157.50

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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.