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Finding the Fourth Proportional to 318.21, 439.11 and 193.94

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Solution

The fourth proportional to 318.21, 439.11 and 193.94 is: 267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.21 : 439.11 = 193.94 : x
  2. Step 2: Convert to fraction form
    318.21/439.11 = 193.94/x
  3. Step 3: Cross multiply
    318.21x = 439.11 × 193.94
  4. Step 4: Simplify right side
    318.21x = 85,158.80
  5. Step 5: Solve for x
    x = 85,158.80/318.21
  6. Step 6: Final answer
    x = 267.62

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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.