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Finding the Fourth Proportional to 196.31, 270.59 and 185.37

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Solution

The fourth proportional to 196.31, 270.59 and 185.37 is: 255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.31 : 270.59 = 185.37 : x
  2. Step 2: Convert to fraction form
    196.31/270.59 = 185.37/x
  3. Step 3: Cross multiply
    196.31x = 270.59 × 185.37
  4. Step 4: Simplify right side
    196.31x = 50,158.34
  5. Step 5: Solve for x
    x = 50,158.34/196.31
  6. Step 6: Final answer
    x = 255.51

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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.