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Finding the Fourth Proportional to 344.59, 475.49 and 195.21

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Solution

The fourth proportional to 344.59, 475.49 and 195.21 is: 269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.59 : 475.49 = 195.21 : x
  2. Step 2: Convert to fraction form
    344.59/475.49 = 195.21/x
  3. Step 3: Cross multiply
    344.59x = 475.49 × 195.21
  4. Step 4: Simplify right side
    344.59x = 92,820.89
  5. Step 5: Solve for x
    x = 92,820.89/344.59
  6. Step 6: Final answer
    x = 269.37

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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.