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Finding the Fourth Proportional to 196.90, 271.96 and 178.67

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Solution

The fourth proportional to 196.90, 271.96 and 178.67 is: 246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.90 : 271.96 = 178.67 : x
  2. Step 2: Convert to fraction form
    196.90/271.96 = 178.67/x
  3. Step 3: Cross multiply
    196.90x = 271.96 × 178.67
  4. Step 4: Simplify right side
    196.90x = 48,591.33
  5. Step 5: Solve for x
    x = 48,591.33/196.90
  6. Step 6: Final answer
    x = 246.78

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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.