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Finding the Fourth Proportional to 260.80, 360.36 and 205.98

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Solution

The fourth proportional to 260.80, 360.36 and 205.98 is: 284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.80 : 360.36 = 205.98 : x
  2. Step 2: Convert to fraction form
    260.80/360.36 = 205.98/x
  3. Step 3: Cross multiply
    260.80x = 360.36 × 205.98
  4. Step 4: Simplify right side
    260.80x = 74,226.95
  5. Step 5: Solve for x
    x = 74,226.95/260.80
  6. Step 6: Final answer
    x = 284.61

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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.