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Finding the Fourth Proportional to 260.22, 359.12 and 149.73

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Solution

The fourth proportional to 260.22, 359.12 and 149.73 is: 206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.22 : 359.12 = 149.73 : x
  2. Step 2: Convert to fraction form
    260.22/359.12 = 149.73/x
  3. Step 3: Cross multiply
    260.22x = 359.12 × 149.73
  4. Step 4: Simplify right side
    260.22x = 53,771.04
  5. Step 5: Solve for x
    x = 53,771.04/260.22
  6. Step 6: Final answer
    x = 206.64

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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.