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Finding the Fourth Proportional to 194.77, 293.62 and 181.56

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Solution

The fourth proportional to 194.77, 293.62 and 181.56 is: 273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.77 : 293.62 = 181.56 : x
  2. Step 2: Convert to fraction form
    194.77/293.62 = 181.56/x
  3. Step 3: Cross multiply
    194.77x = 293.62 × 181.56
  4. Step 4: Simplify right side
    194.77x = 53,308.98
  5. Step 5: Solve for x
    x = 53,308.98/194.77
  6. Step 6: Final answer
    x = 273.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.