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Finding the Fourth Proportional to 194.12, 267.77 and 131.95

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Solution

The fourth proportional to 194.12, 267.77 and 131.95 is: 182.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.12 : 267.77 = 131.95 : x
  2. Step 2: Convert to fraction form
    194.12/267.77 = 131.95/x
  3. Step 3: Cross multiply
    194.12x = 267.77 × 131.95
  4. Step 4: Simplify right side
    194.12x = 35,332.25
  5. Step 5: Solve for x
    x = 35,332.25/194.12
  6. Step 6: Final answer
    x = 182.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.