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Finding the Fourth Proportional to 254.14, 381.23 and 80.82

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Solution

The fourth proportional to 254.14, 381.23 and 80.82 is: 121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.14 : 381.23 = 80.82 : x
  2. Step 2: Convert to fraction form
    254.14/381.23 = 80.82/x
  3. Step 3: Cross multiply
    254.14x = 381.23 × 80.82
  4. Step 4: Simplify right side
    254.14x = 30,810.91
  5. Step 5: Solve for x
    x = 30,810.91/254.14
  6. Step 6: Final answer
    x = 121.24

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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.