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Finding the Fourth Proportional to 260.90, 359.52 and 190.82

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Solution

The fourth proportional to 260.90, 359.52 and 190.82 is: 262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.90 : 359.52 = 190.82 : x
  2. Step 2: Convert to fraction form
    260.90/359.52 = 190.82/x
  3. Step 3: Cross multiply
    260.90x = 359.52 × 190.82
  4. Step 4: Simplify right side
    260.90x = 68,603.61
  5. Step 5: Solve for x
    x = 68,603.61/260.90
  6. Step 6: Final answer
    x = 262.95

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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.