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Finding the Fourth Proportional to 260.24, 388.68 and 235.82

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Solution

The fourth proportional to 260.24, 388.68 and 235.82 is: 352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.24 : 388.68 = 235.82 : x
  2. Step 2: Convert to fraction form
    260.24/388.68 = 235.82/x
  3. Step 3: Cross multiply
    260.24x = 388.68 × 235.82
  4. Step 4: Simplify right side
    260.24x = 91,656.37
  5. Step 5: Solve for x
    x = 91,656.37/260.24
  6. Step 6: Final answer
    x = 352.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.