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Finding the Fourth Proportional to 193.95, 267.77 and 131.96

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Solution

The fourth proportional to 193.95, 267.77 and 131.96 is: 182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.95 : 267.77 = 131.96 : x
  2. Step 2: Convert to fraction form
    193.95/267.77 = 131.96/x
  3. Step 3: Cross multiply
    193.95x = 267.77 × 131.96
  4. Step 4: Simplify right side
    193.95x = 35,334.93
  5. Step 5: Solve for x
    x = 35,334.93/193.95
  6. Step 6: Final answer
    x = 182.19

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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.