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Finding the Fourth Proportional to 260.70, 359.82 and 238.83

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Solution

The fourth proportional to 260.70, 359.82 and 238.83 is: 329.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.70 : 359.82 = 238.83 : x
  2. Step 2: Convert to fraction form
    260.70/359.82 = 238.83/x
  3. Step 3: Cross multiply
    260.70x = 359.82 × 238.83
  4. Step 4: Simplify right side
    260.70x = 85,935.81
  5. Step 5: Solve for x
    x = 85,935.81/260.70
  6. Step 6: Final answer
    x = 329.63

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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.