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Finding the Fourth Proportional to 299.58, 413.64 and 183.30

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Solution

The fourth proportional to 299.58, 413.64 and 183.30 is: 253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.58 : 413.64 = 183.30 : x
  2. Step 2: Convert to fraction form
    299.58/413.64 = 183.30/x
  3. Step 3: Cross multiply
    299.58x = 413.64 × 183.30
  4. Step 4: Simplify right side
    299.58x = 75,820.21
  5. Step 5: Solve for x
    x = 75,820.21/299.58
  6. Step 6: Final answer
    x = 253.09

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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.