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Finding the Fourth Proportional to 254.00, 380.97 and 107.79

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Solution

The fourth proportional to 254.00, 380.97 and 107.79 is: 161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.00 : 380.97 = 107.79 : x
  2. Step 2: Convert to fraction form
    254.00/380.97 = 107.79/x
  3. Step 3: Cross multiply
    254.00x = 380.97 × 107.79
  4. Step 4: Simplify right side
    254.00x = 41,064.76
  5. Step 5: Solve for x
    x = 41,064.76/254.00
  6. Step 6: Final answer
    x = 161.68

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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.