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Finding the Fourth Proportional to 260.67, 359.75 and 144.23

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Solution

The fourth proportional to 260.67, 359.75 and 144.23 is: 199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.67 : 359.75 = 144.23 : x
  2. Step 2: Convert to fraction form
    260.67/359.75 = 144.23/x
  3. Step 3: Cross multiply
    260.67x = 359.75 × 144.23
  4. Step 4: Simplify right side
    260.67x = 51,886.74
  5. Step 5: Solve for x
    x = 51,886.74/260.67
  6. Step 6: Final answer
    x = 199.05

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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.