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Finding the Fourth Proportional to 344.23, 475.05 and 196.85

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Solution

The fourth proportional to 344.23, 475.05 and 196.85 is: 271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.23 : 475.05 = 196.85 : x
  2. Step 2: Convert to fraction form
    344.23/475.05 = 196.85/x
  3. Step 3: Cross multiply
    344.23x = 475.05 × 196.85
  4. Step 4: Simplify right side
    344.23x = 93,513.59
  5. Step 5: Solve for x
    x = 93,513.59/344.23
  6. Step 6: Final answer
    x = 271.66

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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.