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Finding the Fourth Proportional to 260.88, 359.74 and 194.19

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Solution

The fourth proportional to 260.88, 359.74 and 194.19 is: 267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.88 : 359.74 = 194.19 : x
  2. Step 2: Convert to fraction form
    260.88/359.74 = 194.19/x
  3. Step 3: Cross multiply
    260.88x = 359.74 × 194.19
  4. Step 4: Simplify right side
    260.88x = 69,857.91
  5. Step 5: Solve for x
    x = 69,857.91/260.88
  6. Step 6: Final answer
    x = 267.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.