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Finding the Fourth Proportional to 196.54, 270.95 and 137.44

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Solution

The fourth proportional to 196.54, 270.95 and 137.44 is: 189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.54 : 270.95 = 137.44 : x
  2. Step 2: Convert to fraction form
    196.54/270.95 = 137.44/x
  3. Step 3: Cross multiply
    196.54x = 270.95 × 137.44
  4. Step 4: Simplify right side
    196.54x = 37,239.37
  5. Step 5: Solve for x
    x = 37,239.37/196.54
  6. Step 6: Final answer
    x = 189.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.