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Finding the Fourth Proportional to 260.80, 389.34 and 223.84

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Solution

The fourth proportional to 260.80, 389.34 and 223.84 is: 334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.80 : 389.34 = 223.84 : x
  2. Step 2: Convert to fraction form
    260.80/389.34 = 223.84/x
  3. Step 3: Cross multiply
    260.80x = 389.34 × 223.84
  4. Step 4: Simplify right side
    260.80x = 87,149.87
  5. Step 5: Solve for x
    x = 87,149.87/260.80
  6. Step 6: Final answer
    x = 334.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.