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Finding the Fourth Proportional to 254.09, 380.91 and 193.07

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Solution

The fourth proportional to 254.09, 380.91 and 193.07 is: 289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.09 : 380.91 = 193.07 : x
  2. Step 2: Convert to fraction form
    254.09/380.91 = 193.07/x
  3. Step 3: Cross multiply
    254.09x = 380.91 × 193.07
  4. Step 4: Simplify right side
    254.09x = 73,542.29
  5. Step 5: Solve for x
    x = 73,542.29/254.09
  6. Step 6: Final answer
    x = 289.43

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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.