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Finding the Fourth Proportional to 413.94, 620.98 and 140.12

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Solution

The fourth proportional to 413.94, 620.98 and 140.12 is: 210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.94 : 620.98 = 140.12 : x
  2. Step 2: Convert to fraction form
    413.94/620.98 = 140.12/x
  3. Step 3: Cross multiply
    413.94x = 620.98 × 140.12
  4. Step 4: Simplify right side
    413.94x = 87,008.26
  5. Step 5: Solve for x
    x = 87,008.26/413.94
  6. Step 6: Final answer
    x = 210.20

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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.