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Finding the Fourth Proportional to 260.06, 356.90 and 235.44

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Solution

The fourth proportional to 260.06, 356.90 and 235.44 is: 323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.06 : 356.90 = 235.44 : x
  2. Step 2: Convert to fraction form
    260.06/356.90 = 235.44/x
  3. Step 3: Cross multiply
    260.06x = 356.90 × 235.44
  4. Step 4: Simplify right side
    260.06x = 84,027.36
  5. Step 5: Solve for x
    x = 84,027.36/260.06
  6. Step 6: Final answer
    x = 323.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.