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Finding the Fourth Proportional to 276.60, 413.90 and 154.98

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Solution

The fourth proportional to 276.60, 413.90 and 154.98 is: 231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.60 : 413.90 = 154.98 : x
  2. Step 2: Convert to fraction form
    276.60/413.90 = 154.98/x
  3. Step 3: Cross multiply
    276.60x = 413.90 × 154.98
  4. Step 4: Simplify right side
    276.60x = 64,146.22
  5. Step 5: Solve for x
    x = 64,146.22/276.60
  6. Step 6: Final answer
    x = 231.91

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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.