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Finding the Fourth Proportional to 331.96, 458.22 and 194.04

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Solution

The fourth proportional to 331.96, 458.22 and 194.04 is: 267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.96 : 458.22 = 194.04 : x
  2. Step 2: Convert to fraction form
    331.96/458.22 = 194.04/x
  3. Step 3: Cross multiply
    331.96x = 458.22 × 194.04
  4. Step 4: Simplify right side
    331.96x = 88,913.01
  5. Step 5: Solve for x
    x = 88,913.01/331.96
  6. Step 6: Final answer
    x = 267.84

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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.