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Finding the Fourth Proportional to 260.26, 389.94 and 173.46

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Solution

The fourth proportional to 260.26, 389.94 and 173.46 is: 259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.26 : 389.94 = 173.46 : x
  2. Step 2: Convert to fraction form
    260.26/389.94 = 173.46/x
  3. Step 3: Cross multiply
    260.26x = 389.94 × 173.46
  4. Step 4: Simplify right side
    260.26x = 67,638.99
  5. Step 5: Solve for x
    x = 67,638.99/260.26
  6. Step 6: Final answer
    x = 259.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.