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Finding the Fourth Proportional to 196.48, 269.39 and 182.26

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Solution

The fourth proportional to 196.48, 269.39 and 182.26 is: 249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.48 : 269.39 = 182.26 : x
  2. Step 2: Convert to fraction form
    196.48/269.39 = 182.26/x
  3. Step 3: Cross multiply
    196.48x = 269.39 × 182.26
  4. Step 4: Simplify right side
    196.48x = 49,099.02
  5. Step 5: Solve for x
    x = 49,099.02/196.48
  6. Step 6: Final answer
    x = 249.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.