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Finding the Fourth Proportional to 350.54, 525.78 and 196.55

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Solution

The fourth proportional to 350.54, 525.78 and 196.55 is: 294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.54 : 525.78 = 196.55 : x
  2. Step 2: Convert to fraction form
    350.54/525.78 = 196.55/x
  3. Step 3: Cross multiply
    350.54x = 525.78 × 196.55
  4. Step 4: Simplify right side
    350.54x = 103,339.43
  5. Step 5: Solve for x
    x = 103,339.43/350.54
  6. Step 6: Final answer
    x = 294.80

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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.