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Finding the Fourth Proportional to 343.01, 513.58 and 196.63

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Solution

The fourth proportional to 343.01, 513.58 and 196.63 is: 294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.01 : 513.58 = 196.63 : x
  2. Step 2: Convert to fraction form
    343.01/513.58 = 196.63/x
  3. Step 3: Cross multiply
    343.01x = 513.58 × 196.63
  4. Step 4: Simplify right side
    343.01x = 100,983.46
  5. Step 5: Solve for x
    x = 100,983.46/343.01
  6. Step 6: Final answer
    x = 294.41

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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.