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Finding the Fourth Proportional to 196.35, 270.34 and 166.78

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Solution

The fourth proportional to 196.35, 270.34 and 166.78 is: 229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.35 : 270.34 = 166.78 : x
  2. Step 2: Convert to fraction form
    196.35/270.34 = 166.78/x
  3. Step 3: Cross multiply
    196.35x = 270.34 × 166.78
  4. Step 4: Simplify right side
    196.35x = 45,088.16
  5. Step 5: Solve for x
    x = 45,088.16/196.35
  6. Step 6: Final answer
    x = 229.63

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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.