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Finding the Fourth Proportional to 260.54, 359.53 and 144.09

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Solution

The fourth proportional to 260.54, 359.53 and 144.09 is: 198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.54 : 359.53 = 144.09 : x
  2. Step 2: Convert to fraction form
    260.54/359.53 = 144.09/x
  3. Step 3: Cross multiply
    260.54x = 359.53 × 144.09
  4. Step 4: Simplify right side
    260.54x = 51,804.32
  5. Step 5: Solve for x
    x = 51,804.32/260.54
  6. Step 6: Final answer
    x = 198.84

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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.