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Finding the Fourth Proportional to 344.97, 476.09 and 189.73

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Solution

The fourth proportional to 344.97, 476.09 and 189.73 is: 261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.97 : 476.09 = 189.73 : x
  2. Step 2: Convert to fraction form
    344.97/476.09 = 189.73/x
  3. Step 3: Cross multiply
    344.97x = 476.09 × 189.73
  4. Step 4: Simplify right side
    344.97x = 90,327.61
  5. Step 5: Solve for x
    x = 90,327.61/344.97
  6. Step 6: Final answer
    x = 261.84

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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.