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Finding the Fourth Proportional to 276.39, 413.94 and 167.98

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Solution

The fourth proportional to 276.39, 413.94 and 167.98 is: 251.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.39 : 413.94 = 167.98 : x
  2. Step 2: Convert to fraction form
    276.39/413.94 = 167.98/x
  3. Step 3: Cross multiply
    276.39x = 413.94 × 167.98
  4. Step 4: Simplify right side
    276.39x = 69,533.64
  5. Step 5: Solve for x
    x = 69,533.64/276.39
  6. Step 6: Final answer
    x = 251.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.