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Finding the Fourth Proportional to 264.35, 363.83 and 194.30

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Solution

The fourth proportional to 264.35, 363.83 and 194.30 is: 267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.35 : 363.83 = 194.30 : x
  2. Step 2: Convert to fraction form
    264.35/363.83 = 194.30/x
  3. Step 3: Cross multiply
    264.35x = 363.83 × 194.30
  4. Step 4: Simplify right side
    264.35x = 70,691.56
  5. Step 5: Solve for x
    x = 70,691.56/264.35
  6. Step 6: Final answer
    x = 267.42

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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.