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Finding the Fourth Proportional to 300.01, 413.76 and 183.37

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Solution

The fourth proportional to 300.01, 413.76 and 183.37 is: 252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.01 : 413.76 = 183.37 : x
  2. Step 2: Convert to fraction form
    300.01/413.76 = 183.37/x
  3. Step 3: Cross multiply
    300.01x = 413.76 × 183.37
  4. Step 4: Simplify right side
    300.01x = 75,871.17
  5. Step 5: Solve for x
    x = 75,871.17/300.01
  6. Step 6: Final answer
    x = 252.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.