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Finding the Fourth Proportional to 196.89, 271.65 and 114

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Solution

The fourth proportional to 196.89, 271.65 and 114 is: 157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.89 : 271.65 = 114 : x
  2. Step 2: Convert to fraction form
    196.89/271.65 = 114/x
  3. Step 3: Cross multiply
    196.89x = 271.65 × 114
  4. Step 4: Simplify right side
    196.89x = 30,968.10
  5. Step 5: Solve for x
    x = 30,968.10/196.89
  6. Step 6: Final answer
    x = 157.29

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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.