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Finding the Fourth Proportional to 276.34, 413.77 and 146.07

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Solution

The fourth proportional to 276.34, 413.77 and 146.07 is: 218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.34 : 413.77 = 146.07 : x
  2. Step 2: Convert to fraction form
    276.34/413.77 = 146.07/x
  3. Step 3: Cross multiply
    276.34x = 413.77 × 146.07
  4. Step 4: Simplify right side
    276.34x = 60,439.29
  5. Step 5: Solve for x
    x = 60,439.29/276.34
  6. Step 6: Final answer
    x = 218.71

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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.