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Finding the Fourth Proportional to 254.43, 381.29 and 108.06

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Solution

The fourth proportional to 254.43, 381.29 and 108.06 is: 161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.43 : 381.29 = 108.06 : x
  2. Step 2: Convert to fraction form
    254.43/381.29 = 108.06/x
  3. Step 3: Cross multiply
    254.43x = 381.29 × 108.06
  4. Step 4: Simplify right side
    254.43x = 41,199.75
  5. Step 5: Solve for x
    x = 41,199.75/254.43
  6. Step 6: Final answer
    x = 161.93

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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.