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Finding the Fourth Proportional to 344.90, 476.06 and 197.62

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Solution

The fourth proportional to 344.90, 476.06 and 197.62 is: 272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.90 : 476.06 = 197.62 : x
  2. Step 2: Convert to fraction form
    344.90/476.06 = 197.62/x
  3. Step 3: Cross multiply
    344.90x = 476.06 × 197.62
  4. Step 4: Simplify right side
    344.90x = 94,076.80
  5. Step 5: Solve for x
    x = 94,076.80/344.90
  6. Step 6: Final answer
    x = 272.76

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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.