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Finding the Fourth Proportional to 254.78, 382.32 and 110.49

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Solution

The fourth proportional to 254.78, 382.32 and 110.49 is: 165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.78 : 382.32 = 110.49 : x
  2. Step 2: Convert to fraction form
    254.78/382.32 = 110.49/x
  3. Step 3: Cross multiply
    254.78x = 382.32 × 110.49
  4. Step 4: Simplify right side
    254.78x = 42,242.54
  5. Step 5: Solve for x
    x = 42,242.54/254.78
  6. Step 6: Final answer
    x = 165.80

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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.