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Finding the Fourth Proportional to 260.54, 359.80 and 198.80

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Solution

The fourth proportional to 260.54, 359.80 and 198.80 is: 274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.54 : 359.80 = 198.80 : x
  2. Step 2: Convert to fraction form
    260.54/359.80 = 198.80/x
  3. Step 3: Cross multiply
    260.54x = 359.80 × 198.80
  4. Step 4: Simplify right side
    260.54x = 71,528.24
  5. Step 5: Solve for x
    x = 71,528.24/260.54
  6. Step 6: Final answer
    x = 274.54

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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.