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Finding the Fourth Proportional to 260.43, 359.40 and 142.41

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Solution

The fourth proportional to 260.43, 359.40 and 142.41 is: 196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.43 : 359.40 = 142.41 : x
  2. Step 2: Convert to fraction form
    260.43/359.40 = 142.41/x
  3. Step 3: Cross multiply
    260.43x = 359.40 × 142.41
  4. Step 4: Simplify right side
    260.43x = 51,182.01
  5. Step 5: Solve for x
    x = 51,182.01/260.43
  6. Step 6: Final answer
    x = 196.53

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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.