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Finding the Fourth Proportional to 196.29, 270.88 and 113.37

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Solution

The fourth proportional to 196.29, 270.88 and 113.37 is: 156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.29 : 270.88 = 113.37 : x
  2. Step 2: Convert to fraction form
    196.29/270.88 = 113.37/x
  3. Step 3: Cross multiply
    196.29x = 270.88 × 113.37
  4. Step 4: Simplify right side
    196.29x = 30,708.37
  5. Step 5: Solve for x
    x = 30,708.37/196.29
  6. Step 6: Final answer
    x = 156.44

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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.