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Finding the Fourth Proportional to 253.84, 380.82 and 109.56

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Solution

The fourth proportional to 253.84, 380.82 and 109.56 is: 164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.84 : 380.82 = 109.56 : x
  2. Step 2: Convert to fraction form
    253.84/380.82 = 109.56/x
  3. Step 3: Cross multiply
    253.84x = 380.82 × 109.56
  4. Step 4: Simplify right side
    253.84x = 41,722.64
  5. Step 5: Solve for x
    x = 41,722.64/253.84
  6. Step 6: Final answer
    x = 164.37

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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.