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Finding the Fourth Proportional to 350.20, 524.76 and 196.03

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Solution

The fourth proportional to 350.20, 524.76 and 196.03 is: 293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.20 : 524.76 = 196.03 : x
  2. Step 2: Convert to fraction form
    350.20/524.76 = 196.03/x
  3. Step 3: Cross multiply
    350.20x = 524.76 × 196.03
  4. Step 4: Simplify right side
    350.20x = 102,868.70
  5. Step 5: Solve for x
    x = 102,868.70/350.20
  6. Step 6: Final answer
    x = 293.74

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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.