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Finding the Fourth Proportional to 344.30, 475.12 and 196.88

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Solution

The fourth proportional to 344.30, 475.12 and 196.88 is: 271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.30 : 475.12 = 196.88 : x
  2. Step 2: Convert to fraction form
    344.30/475.12 = 196.88/x
  3. Step 3: Cross multiply
    344.30x = 475.12 × 196.88
  4. Step 4: Simplify right side
    344.30x = 93,541.63
  5. Step 5: Solve for x
    x = 93,541.63/344.30
  6. Step 6: Final answer
    x = 271.69

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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.