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Finding the Fourth Proportional to 196.20, 270.68 and 117.45

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Solution

The fourth proportional to 196.20, 270.68 and 117.45 is: 162.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.20 : 270.68 = 117.45 : x
  2. Step 2: Convert to fraction form
    196.20/270.68 = 117.45/x
  3. Step 3: Cross multiply
    196.20x = 270.68 × 117.45
  4. Step 4: Simplify right side
    196.20x = 31,790.78
  5. Step 5: Solve for x
    x = 31,790.78/196.20
  6. Step 6: Final answer
    x = 162.03

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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.