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Finding the Fourth Proportional to 196.59, 270.68 and 167.02

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Solution

The fourth proportional to 196.59, 270.68 and 167.02 is: 229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.59 : 270.68 = 167.02 : x
  2. Step 2: Convert to fraction form
    196.59/270.68 = 167.02/x
  3. Step 3: Cross multiply
    196.59x = 270.68 × 167.02
  4. Step 4: Simplify right side
    196.59x = 45,208.14
  5. Step 5: Solve for x
    x = 45,208.14/196.59
  6. Step 6: Final answer
    x = 229.96

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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.