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Finding the Fourth Proportional to 287.83, 396.25 and 222.22

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Solution

The fourth proportional to 287.83, 396.25 and 222.22 is: 305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.83 : 396.25 = 222.22 : x
  2. Step 2: Convert to fraction form
    287.83/396.25 = 222.22/x
  3. Step 3: Cross multiply
    287.83x = 396.25 × 222.22
  4. Step 4: Simplify right side
    287.83x = 88,054.68
  5. Step 5: Solve for x
    x = 88,054.68/287.83
  6. Step 6: Final answer
    x = 305.93

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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.