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Finding the Fourth Proportional to 231.44, 346.42 and 165.44

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Solution

The fourth proportional to 231.44, 346.42 and 165.44 is: 247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.44 : 346.42 = 165.44 : x
  2. Step 2: Convert to fraction form
    231.44/346.42 = 165.44/x
  3. Step 3: Cross multiply
    231.44x = 346.42 × 165.44
  4. Step 4: Simplify right side
    231.44x = 57,311.72
  5. Step 5: Solve for x
    x = 57,311.72/231.44
  6. Step 6: Final answer
    x = 247.63

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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.