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Finding the Fourth Proportional to 344.70, 475.66 and 189.44

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Solution

The fourth proportional to 344.70, 475.66 and 189.44 is: 261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.70 : 475.66 = 189.44 : x
  2. Step 2: Convert to fraction form
    344.70/475.66 = 189.44/x
  3. Step 3: Cross multiply
    344.70x = 475.66 × 189.44
  4. Step 4: Simplify right side
    344.70x = 90,109.03
  5. Step 5: Solve for x
    x = 90,109.03/344.70
  6. Step 6: Final answer
    x = 261.41

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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.