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Finding the Fourth Proportional to 253.97, 380.96 and 109.69

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Solution

The fourth proportional to 253.97, 380.96 and 109.69 is: 164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.97 : 380.96 = 109.69 : x
  2. Step 2: Convert to fraction form
    253.97/380.96 = 109.69/x
  3. Step 3: Cross multiply
    253.97x = 380.96 × 109.69
  4. Step 4: Simplify right side
    253.97x = 41,786.82
  5. Step 5: Solve for x
    x = 41,786.82/253.97
  6. Step 6: Final answer
    x = 164.53

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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.