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Finding the Fourth Proportional to 196.39, 293.17 and 182.15

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Solution

The fourth proportional to 196.39, 293.17 and 182.15 is: 271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.39 : 293.17 = 182.15 : x
  2. Step 2: Convert to fraction form
    196.39/293.17 = 182.15/x
  3. Step 3: Cross multiply
    196.39x = 293.17 × 182.15
  4. Step 4: Simplify right side
    196.39x = 53,398.99
  5. Step 5: Solve for x
    x = 53,398.99/196.39
  6. Step 6: Final answer
    x = 271.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.