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Finding the Fourth Proportional to 260.89, 359.97 and 173.50

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Solution

The fourth proportional to 260.89, 359.97 and 173.50 is: 239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.89 : 359.97 = 173.50 : x
  2. Step 2: Convert to fraction form
    260.89/359.97 = 173.50/x
  3. Step 3: Cross multiply
    260.89x = 359.97 × 173.50
  4. Step 4: Simplify right side
    260.89x = 62,454.80
  5. Step 5: Solve for x
    x = 62,454.80/260.89
  6. Step 6: Final answer
    x = 239.39

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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.