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Finding the Fourth Proportional to 275.09, 411.90 and 183.21

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Solution

The fourth proportional to 275.09, 411.90 and 183.21 is: 274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.09 : 411.90 = 183.21 : x
  2. Step 2: Convert to fraction form
    275.09/411.90 = 183.21/x
  3. Step 3: Cross multiply
    275.09x = 411.90 × 183.21
  4. Step 4: Simplify right side
    275.09x = 75,464.20
  5. Step 5: Solve for x
    x = 75,464.20/275.09
  6. Step 6: Final answer
    x = 274.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.