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Finding the Fourth Proportional to 274.43, 378.19 and 196.67

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Solution

The fourth proportional to 274.43, 378.19 and 196.67 is: 271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.43 : 378.19 = 196.67 : x
  2. Step 2: Convert to fraction form
    274.43/378.19 = 196.67/x
  3. Step 3: Cross multiply
    274.43x = 378.19 × 196.67
  4. Step 4: Simplify right side
    274.43x = 74,378.63
  5. Step 5: Solve for x
    x = 74,378.63/274.43
  6. Step 6: Final answer
    x = 271.03

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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.