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Finding the Fourth Proportional to 196.29, 270.50 and 140.93

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Solution

The fourth proportional to 196.29, 270.50 and 140.93 is: 194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.29 : 270.50 = 140.93 : x
  2. Step 2: Convert to fraction form
    196.29/270.50 = 140.93/x
  3. Step 3: Cross multiply
    196.29x = 270.50 × 140.93
  4. Step 4: Simplify right side
    196.29x = 38,121.57
  5. Step 5: Solve for x
    x = 38,121.57/196.29
  6. Step 6: Final answer
    x = 194.21

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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.