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Finding the Fourth Proportional to 276.21, 413.88 and 146.21

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Solution

The fourth proportional to 276.21, 413.88 and 146.21 is: 219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.21 : 413.88 = 146.21 : x
  2. Step 2: Convert to fraction form
    276.21/413.88 = 146.21/x
  3. Step 3: Cross multiply
    276.21x = 413.88 × 146.21
  4. Step 4: Simplify right side
    276.21x = 60,513.39
  5. Step 5: Solve for x
    x = 60,513.39/276.21
  6. Step 6: Final answer
    x = 219.08

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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.