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Finding the Fourth Proportional to 260.25, 388.09 and 221.07

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Solution

The fourth proportional to 260.25, 388.09 and 221.07 is: 329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.25 : 388.09 = 221.07 : x
  2. Step 2: Convert to fraction form
    260.25/388.09 = 221.07/x
  3. Step 3: Cross multiply
    260.25x = 388.09 × 221.07
  4. Step 4: Simplify right side
    260.25x = 85,795.06
  5. Step 5: Solve for x
    x = 85,795.06/260.25
  6. Step 6: Final answer
    x = 329.66

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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.