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Finding the Fourth Proportional to 268, 403.82 and 238.53

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Solution

The fourth proportional to 268, 403.82 and 238.53 is: 359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    268 : 403.82 = 238.53 : x
  2. Step 2: Convert to fraction form
    268/403.82 = 238.53/x
  3. Step 3: Cross multiply
    268x = 403.82 × 238.53
  4. Step 4: Simplify right side
    268x = 96,323.18
  5. Step 5: Solve for x
    x = 96,323.18/268
  6. Step 6: Final answer
    x = 359.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.