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Finding the Fourth Proportional to 140.37, 194.13 and 131.64

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Solution

The fourth proportional to 140.37, 194.13 and 131.64 is: 182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.37 : 194.13 = 131.64 : x
  2. Step 2: Convert to fraction form
    140.37/194.13 = 131.64/x
  3. Step 3: Cross multiply
    140.37x = 194.13 × 131.64
  4. Step 4: Simplify right side
    140.37x = 25,555.27
  5. Step 5: Solve for x
    x = 25,555.27/140.37
  6. Step 6: Final answer
    x = 182.06

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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.