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Finding the Fourth Proportional to 276.33, 413.67 and 178.64

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Solution

The fourth proportional to 276.33, 413.67 and 178.64 is: 267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.33 : 413.67 = 178.64 : x
  2. Step 2: Convert to fraction form
    276.33/413.67 = 178.64/x
  3. Step 3: Cross multiply
    276.33x = 413.67 × 178.64
  4. Step 4: Simplify right side
    276.33x = 73,898.01
  5. Step 5: Solve for x
    x = 73,898.01/276.33
  6. Step 6: Final answer
    x = 267.43

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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.