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Finding the Fourth Proportional to 260.43, 359.36 and 143.98

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Solution

The fourth proportional to 260.43, 359.36 and 143.98 is: 198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.43 : 359.36 = 143.98 : x
  2. Step 2: Convert to fraction form
    260.43/359.36 = 143.98/x
  3. Step 3: Cross multiply
    260.43x = 359.36 × 143.98
  4. Step 4: Simplify right side
    260.43x = 51,739.93
  5. Step 5: Solve for x
    x = 51,739.93/260.43
  6. Step 6: Final answer
    x = 198.67

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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.