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Finding the Fourth Proportional to 344.92, 475.96 and 197.57

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Solution

The fourth proportional to 344.92, 475.96 and 197.57 is: 272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.92 : 475.96 = 197.57 : x
  2. Step 2: Convert to fraction form
    344.92/475.96 = 197.57/x
  3. Step 3: Cross multiply
    344.92x = 475.96 × 197.57
  4. Step 4: Simplify right side
    344.92x = 94,035.42
  5. Step 5: Solve for x
    x = 94,035.42/344.92
  6. Step 6: Final answer
    x = 272.63

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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.