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Finding the Fourth Proportional to 263.95, 395.46 and 195.60

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Solution

The fourth proportional to 263.95, 395.46 and 195.60 is: 293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.95 : 395.46 = 195.60 : x
  2. Step 2: Convert to fraction form
    263.95/395.46 = 195.60/x
  3. Step 3: Cross multiply
    263.95x = 395.46 × 195.60
  4. Step 4: Simplify right side
    263.95x = 77,351.98
  5. Step 5: Solve for x
    x = 77,351.98/263.95
  6. Step 6: Final answer
    x = 293.06

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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.