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Finding the Fourth Proportional to 350.75, 484.05 and 195.50

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Solution

The fourth proportional to 350.75, 484.05 and 195.50 is: 269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.75 : 484.05 = 195.50 : x
  2. Step 2: Convert to fraction form
    350.75/484.05 = 195.50/x
  3. Step 3: Cross multiply
    350.75x = 484.05 × 195.50
  4. Step 4: Simplify right side
    350.75x = 94,631.78
  5. Step 5: Solve for x
    x = 94,631.78/350.75
  6. Step 6: Final answer
    x = 269.80

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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.