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Finding the Fourth Proportional to 196.14, 270.42 and 147.12

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Solution

The fourth proportional to 196.14, 270.42 and 147.12 is: 202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.14 : 270.42 = 147.12 : x
  2. Step 2: Convert to fraction form
    196.14/270.42 = 147.12/x
  3. Step 3: Cross multiply
    196.14x = 270.42 × 147.12
  4. Step 4: Simplify right side
    196.14x = 39,784.19
  5. Step 5: Solve for x
    x = 39,784.19/196.14
  6. Step 6: Final answer
    x = 202.84

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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.