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Finding the Fourth Proportional to 276.28, 413.95 and 139.03

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Solution

The fourth proportional to 276.28, 413.95 and 139.03 is: 208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.28 : 413.95 = 139.03 : x
  2. Step 2: Convert to fraction form
    276.28/413.95 = 139.03/x
  3. Step 3: Cross multiply
    276.28x = 413.95 × 139.03
  4. Step 4: Simplify right side
    276.28x = 57,551.47
  5. Step 5: Solve for x
    x = 57,551.47/276.28
  6. Step 6: Final answer
    x = 208.31

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Why These Related Problems?

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