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Finding the Fourth Proportional to 194.97, 267.15 and 193.19

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Solution

The fourth proportional to 194.97, 267.15 and 193.19 is: 264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.97 : 267.15 = 193.19 : x
  2. Step 2: Convert to fraction form
    194.97/267.15 = 193.19/x
  3. Step 3: Cross multiply
    194.97x = 267.15 × 193.19
  4. Step 4: Simplify right side
    194.97x = 51,609.37
  5. Step 5: Solve for x
    x = 51,609.37/194.97
  6. Step 6: Final answer
    x = 264.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.