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Finding the Fourth Proportional to 260.94, 360.09 and 142.92

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Solution

The fourth proportional to 260.94, 360.09 and 142.92 is: 197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.94 : 360.09 = 142.92 : x
  2. Step 2: Convert to fraction form
    260.94/360.09 = 142.92/x
  3. Step 3: Cross multiply
    260.94x = 360.09 × 142.92
  4. Step 4: Simplify right side
    260.94x = 51,464.06
  5. Step 5: Solve for x
    x = 51,464.06/260.94
  6. Step 6: Final answer
    x = 197.23

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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.