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Finding the Fourth Proportional to 195.37, 270.11 and 181.60

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Solution

The fourth proportional to 195.37, 270.11 and 181.60 is: 251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.37 : 270.11 = 181.60 : x
  2. Step 2: Convert to fraction form
    195.37/270.11 = 181.60/x
  3. Step 3: Cross multiply
    195.37x = 270.11 × 181.60
  4. Step 4: Simplify right side
    195.37x = 49,051.75
  5. Step 5: Solve for x
    x = 49,051.75/195.37
  6. Step 6: Final answer
    x = 251.07

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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.