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Finding the Fourth Proportional to 260.22, 359.11 and 142.19

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Solution

The fourth proportional to 260.22, 359.11 and 142.19 is: 196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.22 : 359.11 = 142.19 : x
  2. Step 2: Convert to fraction form
    260.22/359.11 = 142.19/x
  3. Step 3: Cross multiply
    260.22x = 359.11 × 142.19
  4. Step 4: Simplify right side
    260.22x = 51,062.92
  5. Step 5: Solve for x
    x = 51,062.92/260.22
  6. Step 6: Final answer
    x = 196.23

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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.