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Finding the Fourth Proportional to 196.94, 271.60 and 137.94

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Solution

The fourth proportional to 196.94, 271.60 and 137.94 is: 190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.94 : 271.60 = 137.94 : x
  2. Step 2: Convert to fraction form
    196.94/271.60 = 137.94/x
  3. Step 3: Cross multiply
    196.94x = 271.60 × 137.94
  4. Step 4: Simplify right side
    196.94x = 37,464.50
  5. Step 5: Solve for x
    x = 37,464.50/196.94
  6. Step 6: Final answer
    x = 190.23

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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.