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Finding the Fourth Proportional to 231.43, 347.15 and 69.23

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Solution

The fourth proportional to 231.43, 347.15 and 69.23 is: 103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.43 : 347.15 = 69.23 : x
  2. Step 2: Convert to fraction form
    231.43/347.15 = 69.23/x
  3. Step 3: Cross multiply
    231.43x = 347.15 × 69.23
  4. Step 4: Simplify right side
    231.43x = 24,032.87
  5. Step 5: Solve for x
    x = 24,032.87/231.43
  6. Step 6: Final answer
    x = 103.84

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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.