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Finding the Fourth Proportional to 254.10, 381.14 and 109.82

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Solution

The fourth proportional to 254.10, 381.14 and 109.82 is: 164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.10 : 381.14 = 109.82 : x
  2. Step 2: Convert to fraction form
    254.10/381.14 = 109.82/x
  3. Step 3: Cross multiply
    254.10x = 381.14 × 109.82
  4. Step 4: Simplify right side
    254.10x = 41,856.79
  5. Step 5: Solve for x
    x = 41,856.79/254.10
  6. Step 6: Final answer
    x = 164.73

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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.