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Finding the Fourth Proportional to 260.94, 359.96 and 208.82

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Solution

The fourth proportional to 260.94, 359.96 and 208.82 is: 288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.94 : 359.96 = 208.82 : x
  2. Step 2: Convert to fraction form
    260.94/359.96 = 208.82/x
  3. Step 3: Cross multiply
    260.94x = 359.96 × 208.82
  4. Step 4: Simplify right side
    260.94x = 75,166.85
  5. Step 5: Solve for x
    x = 75,166.85/260.94
  6. Step 6: Final answer
    x = 288.06

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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.