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Finding the Fourth Proportional to 253.89, 380.77 and 109.57

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Solution

The fourth proportional to 253.89, 380.77 and 109.57 is: 164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.89 : 380.77 = 109.57 : x
  2. Step 2: Convert to fraction form
    253.89/380.77 = 109.57/x
  3. Step 3: Cross multiply
    253.89x = 380.77 × 109.57
  4. Step 4: Simplify right side
    253.89x = 41,720.97
  5. Step 5: Solve for x
    x = 41,720.97/253.89
  6. Step 6: Final answer
    x = 164.33

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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.