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Finding the Fourth Proportional to 260.83, 360.19 and 195.22

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Solution

The fourth proportional to 260.83, 360.19 and 195.22 is: 269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.83 : 360.19 = 195.22 : x
  2. Step 2: Convert to fraction form
    260.83/360.19 = 195.22/x
  3. Step 3: Cross multiply
    260.83x = 360.19 × 195.22
  4. Step 4: Simplify right side
    260.83x = 70,316.29
  5. Step 5: Solve for x
    x = 70,316.29/260.83
  6. Step 6: Final answer
    x = 269.59

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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.