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Finding the Fourth Proportional to 341.21, 511.41 and 196.63

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Solution

The fourth proportional to 341.21, 511.41 and 196.63 is: 294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.21 : 511.41 = 196.63 : x
  2. Step 2: Convert to fraction form
    341.21/511.41 = 196.63/x
  3. Step 3: Cross multiply
    341.21x = 511.41 × 196.63
  4. Step 4: Simplify right side
    341.21x = 100,558.55
  5. Step 5: Solve for x
    x = 100,558.55/341.21
  6. Step 6: Final answer
    x = 294.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.