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Finding the Fourth Proportional to 260.70, 359.31 and 200.85

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Solution

The fourth proportional to 260.70, 359.31 and 200.85 is: 276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.70 : 359.31 = 200.85 : x
  2. Step 2: Convert to fraction form
    260.70/359.31 = 200.85/x
  3. Step 3: Cross multiply
    260.70x = 359.31 × 200.85
  4. Step 4: Simplify right side
    260.70x = 72,167.41
  5. Step 5: Solve for x
    x = 72,167.41/260.70
  6. Step 6: Final answer
    x = 276.82

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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.