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Finding the Fourth Proportional to 196.50, 270.97 and 176.86

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Solution

The fourth proportional to 196.50, 270.97 and 176.86 is: 243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.50 : 270.97 = 176.86 : x
  2. Step 2: Convert to fraction form
    196.50/270.97 = 176.86/x
  3. Step 3: Cross multiply
    196.50x = 270.97 × 176.86
  4. Step 4: Simplify right side
    196.50x = 47,923.75
  5. Step 5: Solve for x
    x = 47,923.75/196.50
  6. Step 6: Final answer
    x = 243.89

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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.