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Finding the Fourth Proportional to 344.20, 475.02 and 188.96

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Solution

The fourth proportional to 344.20, 475.02 and 188.96 is: 260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.20 : 475.02 = 188.96 : x
  2. Step 2: Convert to fraction form
    344.20/475.02 = 188.96/x
  3. Step 3: Cross multiply
    344.20x = 475.02 × 188.96
  4. Step 4: Simplify right side
    344.20x = 89,759.78
  5. Step 5: Solve for x
    x = 89,759.78/344.20
  6. Step 6: Final answer
    x = 260.78

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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.