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Finding the Fourth Proportional to 413.14, 619.91 and 182.00

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Solution

The fourth proportional to 413.14, 619.91 and 182.00 is: 273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.14 : 619.91 = 182.00 : x
  2. Step 2: Convert to fraction form
    413.14/619.91 = 182.00/x
  3. Step 3: Cross multiply
    413.14x = 619.91 × 182.00
  4. Step 4: Simplify right side
    413.14x = 112,819.61
  5. Step 5: Solve for x
    x = 112,819.61/413.14
  6. Step 6: Final answer
    x = 273.08

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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.