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Finding the Fourth Proportional to 196.14, 270.66 and 118.50

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Solution

The fourth proportional to 196.14, 270.66 and 118.50 is: 163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.14 : 270.66 = 118.50 : x
  2. Step 2: Convert to fraction form
    196.14/270.66 = 118.50/x
  3. Step 3: Cross multiply
    196.14x = 270.66 × 118.50
  4. Step 4: Simplify right side
    196.14x = 32,073.21
  5. Step 5: Solve for x
    x = 32,073.21/196.14
  6. Step 6: Final answer
    x = 163.52

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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.