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Finding the Fourth Proportional to 231.11, 346.19 and 223.12

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Solution

The fourth proportional to 231.11, 346.19 and 223.12 is: 334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.11 : 346.19 = 223.12 : x
  2. Step 2: Convert to fraction form
    231.11/346.19 = 223.12/x
  3. Step 3: Cross multiply
    231.11x = 346.19 × 223.12
  4. Step 4: Simplify right side
    231.11x = 77,241.88
  5. Step 5: Solve for x
    x = 77,241.88/231.11
  6. Step 6: Final answer
    x = 334.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.