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Finding the Fourth Proportional to 260.45, 359.42 and 144.01

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Solution

The fourth proportional to 260.45, 359.42 and 144.01 is: 198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.45 : 359.42 = 144.01 : x
  2. Step 2: Convert to fraction form
    260.45/359.42 = 144.01/x
  3. Step 3: Cross multiply
    260.45x = 359.42 × 144.01
  4. Step 4: Simplify right side
    260.45x = 51,759.35
  5. Step 5: Solve for x
    x = 51,759.35/260.45
  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.