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Finding the Fourth Proportional to 253.82, 380.71 and 80.49

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Solution

The fourth proportional to 253.82, 380.71 and 80.49 is: 120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.82 : 380.71 = 80.49 : x
  2. Step 2: Convert to fraction form
    253.82/380.71 = 80.49/x
  3. Step 3: Cross multiply
    253.82x = 380.71 × 80.49
  4. Step 4: Simplify right side
    253.82x = 30,644.99
  5. Step 5: Solve for x
    x = 30,644.99/253.82
  6. Step 6: Final answer
    x = 120.73

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Why These Related Problems?

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