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Finding the Fourth Proportional to 276.14, 413.64 and 207.74

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Solution

The fourth proportional to 276.14, 413.64 and 207.74 is: 311.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.14 : 413.64 = 207.74 : x
  2. Step 2: Convert to fraction form
    276.14/413.64 = 207.74/x
  3. Step 3: Cross multiply
    276.14x = 413.64 × 207.74
  4. Step 4: Simplify right side
    276.14x = 85,929.57
  5. Step 5: Solve for x
    x = 85,929.57/276.14
  6. Step 6: Final answer
    x = 311.18

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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.