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Finding the Fourth Proportional to 344.77, 475.78 and 197.40

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Solution

The fourth proportional to 344.77, 475.78 and 197.40 is: 272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.77 : 475.78 = 197.40 : x
  2. Step 2: Convert to fraction form
    344.77/475.78 = 197.40/x
  3. Step 3: Cross multiply
    344.77x = 475.78 × 197.40
  4. Step 4: Simplify right side
    344.77x = 93,916.59
  5. Step 5: Solve for x
    x = 93,916.59/344.77
  6. Step 6: Final answer
    x = 272.41

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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.