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Finding the Fourth Proportional to 254.24, 381.08 and 109.84

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Solution

The fourth proportional to 254.24, 381.08 and 109.84 is: 164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.24 : 381.08 = 109.84 : x
  2. Step 2: Convert to fraction form
    254.24/381.08 = 109.84/x
  3. Step 3: Cross multiply
    254.24x = 381.08 × 109.84
  4. Step 4: Simplify right side
    254.24x = 41,857.83
  5. Step 5: Solve for x
    x = 41,857.83/254.24
  6. Step 6: Final answer
    x = 164.64

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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.