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Finding the Fourth Proportional to 260.37, 359.83 and 213.67

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Solution

The fourth proportional to 260.37, 359.83 and 213.67 is: 295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.37 : 359.83 = 213.67 : x
  2. Step 2: Convert to fraction form
    260.37/359.83 = 213.67/x
  3. Step 3: Cross multiply
    260.37x = 359.83 × 213.67
  4. Step 4: Simplify right side
    260.37x = 76,884.88
  5. Step 5: Solve for x
    x = 76,884.88/260.37
  6. Step 6: Final answer
    x = 295.29

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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.