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Finding the Fourth Proportional to 196.11, 270.59 and 147.11

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Solution

The fourth proportional to 196.11, 270.59 and 147.11 is: 202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.11 : 270.59 = 147.11 : x
  2. Step 2: Convert to fraction form
    196.11/270.59 = 147.11/x
  3. Step 3: Cross multiply
    196.11x = 270.59 × 147.11
  4. Step 4: Simplify right side
    196.11x = 39,804.41
  5. Step 5: Solve for x
    x = 39,804.41/196.11
  6. Step 6: Final answer
    x = 202.97

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Why These Related Problems?

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