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Finding the Fourth Proportional to 254.50, 381.82 and 110.24

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Solution

The fourth proportional to 254.50, 381.82 and 110.24 is: 165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.50 : 381.82 = 110.24 : x
  2. Step 2: Convert to fraction form
    254.50/381.82 = 110.24/x
  3. Step 3: Cross multiply
    254.50x = 381.82 × 110.24
  4. Step 4: Simplify right side
    254.50x = 42,091.84
  5. Step 5: Solve for x
    x = 42,091.84/254.50
  6. Step 6: Final answer
    x = 165.39

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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.