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Finding the Fourth Proportional to 344.94, 475.81 and 197.54

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Solution

The fourth proportional to 344.94, 475.81 and 197.54 is: 272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.94 : 475.81 = 197.54 : x
  2. Step 2: Convert to fraction form
    344.94/475.81 = 197.54/x
  3. Step 3: Cross multiply
    344.94x = 475.81 × 197.54
  4. Step 4: Simplify right side
    344.94x = 93,991.51
  5. Step 5: Solve for x
    x = 93,991.51/344.94
  6. Step 6: Final answer
    x = 272.49

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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.