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Finding the Fourth Proportional to 275.85, 380.57 and 182.43

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Solution

The fourth proportional to 275.85, 380.57 and 182.43 is: 251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.85 : 380.57 = 182.43 : x
  2. Step 2: Convert to fraction form
    275.85/380.57 = 182.43/x
  3. Step 3: Cross multiply
    275.85x = 380.57 × 182.43
  4. Step 4: Simplify right side
    275.85x = 69,428.79
  5. Step 5: Solve for x
    x = 69,428.79/275.85
  6. Step 6: Final answer
    x = 251.69

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