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Finding the Fourth Proportional to 196.14, 270.68 and 147.16

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Solution

The fourth proportional to 196.14, 270.68 and 147.16 is: 203.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.14 : 270.68 = 147.16 : x
  2. Step 2: Convert to fraction form
    196.14/270.68 = 147.16/x
  3. Step 3: Cross multiply
    196.14x = 270.68 × 147.16
  4. Step 4: Simplify right side
    196.14x = 39,833.27
  5. Step 5: Solve for x
    x = 39,833.27/196.14
  6. Step 6: Final answer
    x = 203.09

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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.