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Finding the Fourth Proportional to 275.70, 380.34 and 182.49

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Solution

The fourth proportional to 275.70, 380.34 and 182.49 is: 251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.70 : 380.34 = 182.49 : x
  2. Step 2: Convert to fraction form
    275.70/380.34 = 182.49/x
  3. Step 3: Cross multiply
    275.70x = 380.34 × 182.49
  4. Step 4: Simplify right side
    275.70x = 69,408.25
  5. Step 5: Solve for x
    x = 69,408.25/275.70
  6. Step 6: Final answer
    x = 251.75

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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.