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Finding the Fourth Proportional to 299.73, 413.69 and 222.69

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Solution

The fourth proportional to 299.73, 413.69 and 222.69 is: 307.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.73 : 413.69 = 222.69 : x
  2. Step 2: Convert to fraction form
    299.73/413.69 = 222.69/x
  3. Step 3: Cross multiply
    299.73x = 413.69 × 222.69
  4. Step 4: Simplify right side
    299.73x = 92,123.51
  5. Step 5: Solve for x
    x = 92,123.51/299.73
  6. Step 6: Final answer
    x = 307.35

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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.