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Finding the Fourth Proportional to 274.95, 413.14 and 206.91

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Solution

The fourth proportional to 274.95, 413.14 and 206.91 is: 310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.95 : 413.14 = 206.91 : x
  2. Step 2: Convert to fraction form
    274.95/413.14 = 206.91/x
  3. Step 3: Cross multiply
    274.95x = 413.14 × 206.91
  4. Step 4: Simplify right side
    274.95x = 85,482.80
  5. Step 5: Solve for x
    x = 85,482.80/274.95
  6. Step 6: Final answer
    x = 310.90

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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.