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Finding the Fourth Proportional to 260.44, 359.41 and 144.01

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Solution

The fourth proportional to 260.44, 359.41 and 144.01 is: 198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.44 : 359.41 = 144.01 : x
  2. Step 2: Convert to fraction form
    260.44/359.41 = 144.01/x
  3. Step 3: Cross multiply
    260.44x = 359.41 × 144.01
  4. Step 4: Simplify right side
    260.44x = 51,757.38
  5. Step 5: Solve for x
    x = 51,757.38/260.44
  6. Step 6: Final answer
    x = 198.73

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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.