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Finding the Fourth Proportional to 196.43, 270.76 and 185.50

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Solution

The fourth proportional to 196.43, 270.76 and 185.50 is: 255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.43 : 270.76 = 185.50 : x
  2. Step 2: Convert to fraction form
    196.43/270.76 = 185.50/x
  3. Step 3: Cross multiply
    196.43x = 270.76 × 185.50
  4. Step 4: Simplify right side
    196.43x = 50,225.98
  5. Step 5: Solve for x
    x = 50,225.98/196.43
  6. Step 6: Final answer
    x = 255.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.