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Finding the Fourth Proportional to 213.44, 294.36 and 194

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Solution

The fourth proportional to 213.44, 294.36 and 194 is: 267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.44 : 294.36 = 194 : x
  2. Step 2: Convert to fraction form
    213.44/294.36 = 194/x
  3. Step 3: Cross multiply
    213.44x = 294.36 × 194
  4. Step 4: Simplify right side
    213.44x = 57,105.84
  5. Step 5: Solve for x
    x = 57,105.84/213.44
  6. Step 6: Final answer
    x = 267.55

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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.