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Finding the Fourth Proportional to 260.62, 359.49 and 205.34

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Solution

The fourth proportional to 260.62, 359.49 and 205.34 is: 283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.62 : 359.49 = 205.34 : x
  2. Step 2: Convert to fraction form
    260.62/359.49 = 205.34/x
  3. Step 3: Cross multiply
    260.62x = 359.49 × 205.34
  4. Step 4: Simplify right side
    260.62x = 73,815.49
  5. Step 5: Solve for x
    x = 73,815.49/260.62
  6. Step 6: Final answer
    x = 283.23

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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.