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Finding the Fourth Proportional to 254.24, 381.44 and 109.92

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Solution

The fourth proportional to 254.24, 381.44 and 109.92 is: 164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.24 : 381.44 = 109.92 : x
  2. Step 2: Convert to fraction form
    254.24/381.44 = 109.92/x
  3. Step 3: Cross multiply
    254.24x = 381.44 × 109.92
  4. Step 4: Simplify right side
    254.24x = 41,927.88
  5. Step 5: Solve for x
    x = 41,927.88/254.24
  6. Step 6: Final answer
    x = 164.91

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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.