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Finding the Fourth Proportional to 413.15, 619.07 and 181.80

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Solution

The fourth proportional to 413.15, 619.07 and 181.80 is: 272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.15 : 619.07 = 181.80 : x
  2. Step 2: Convert to fraction form
    413.15/619.07 = 181.80/x
  3. Step 3: Cross multiply
    413.15x = 619.07 × 181.80
  4. Step 4: Simplify right side
    413.15x = 112,546.02
  5. Step 5: Solve for x
    x = 112,546.02/413.15
  6. Step 6: Final answer
    x = 272.41

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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.