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Finding the Fourth Proportional to 344.56, 475.37 and 197.09

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Solution

The fourth proportional to 344.56, 475.37 and 197.09 is: 271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.56 : 475.37 = 197.09 : x
  2. Step 2: Convert to fraction form
    344.56/475.37 = 197.09/x
  3. Step 3: Cross multiply
    344.56x = 475.37 × 197.09
  4. Step 4: Simplify right side
    344.56x = 93,690.67
  5. Step 5: Solve for x
    x = 93,690.67/344.56
  6. Step 6: Final answer
    x = 271.91

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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.