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Finding the Fourth Proportional to 194.07, 267.78 and 115.38

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Solution

The fourth proportional to 194.07, 267.78 and 115.38 is: 159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.07 : 267.78 = 115.38 : x
  2. Step 2: Convert to fraction form
    194.07/267.78 = 115.38/x
  3. Step 3: Cross multiply
    194.07x = 267.78 × 115.38
  4. Step 4: Simplify right side
    194.07x = 30,896.46
  5. Step 5: Solve for x
    x = 30,896.46/194.07
  6. Step 6: Final answer
    x = 159.20

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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.