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Finding the Fourth Proportional to 254.12, 381.20 and 109.84

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Solution

The fourth proportional to 254.12, 381.20 and 109.84 is: 164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.12 : 381.20 = 109.84 : x
  2. Step 2: Convert to fraction form
    254.12/381.20 = 109.84/x
  3. Step 3: Cross multiply
    254.12x = 381.20 × 109.84
  4. Step 4: Simplify right side
    254.12x = 41,871.01
  5. Step 5: Solve for x
    x = 41,871.01/254.12
  6. Step 6: Final answer
    x = 164.77

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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.