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Finding the Fourth Proportional to 260.58, 359.26 and 186.78

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Solution

The fourth proportional to 260.58, 359.26 and 186.78 is: 257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.58 : 359.26 = 186.78 : x
  2. Step 2: Convert to fraction form
    260.58/359.26 = 186.78/x
  3. Step 3: Cross multiply
    260.58x = 359.26 × 186.78
  4. Step 4: Simplify right side
    260.58x = 67,102.58
  5. Step 5: Solve for x
    x = 67,102.58/260.58
  6. Step 6: Final answer
    x = 257.51

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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.