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Finding the Fourth Proportional to 260.84, 360.08 and 198.68

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Solution

The fourth proportional to 260.84, 360.08 and 198.68 is: 274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.84 : 360.08 = 198.68 : x
  2. Step 2: Convert to fraction form
    260.84/360.08 = 198.68/x
  3. Step 3: Cross multiply
    260.84x = 360.08 × 198.68
  4. Step 4: Simplify right side
    260.84x = 71,540.69
  5. Step 5: Solve for x
    x = 71,540.69/260.84
  6. Step 6: Final answer
    x = 274.27

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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.