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Finding the Fourth Proportional to 260.67, 359.48 and 185.96

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Solution

The fourth proportional to 260.67, 359.48 and 185.96 is: 256.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.67 : 359.48 = 185.96 : x
  2. Step 2: Convert to fraction form
    260.67/359.48 = 185.96/x
  3. Step 3: Cross multiply
    260.67x = 359.48 × 185.96
  4. Step 4: Simplify right side
    260.67x = 66,846.17
  5. Step 5: Solve for x
    x = 66,846.17/260.67
  6. Step 6: Final answer
    x = 256.44

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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.