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Finding the Fourth Proportional to 196.27, 270.19 and 170.40

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Solution

The fourth proportional to 196.27, 270.19 and 170.40 is: 234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.27 : 270.19 = 170.40 : x
  2. Step 2: Convert to fraction form
    196.27/270.19 = 170.40/x
  3. Step 3: Cross multiply
    196.27x = 270.19 × 170.40
  4. Step 4: Simplify right side
    196.27x = 46,040.38
  5. Step 5: Solve for x
    x = 46,040.38/196.27
  6. Step 6: Final answer
    x = 234.58

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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.