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Finding the Fourth Proportional to 254.86, 382.32 and 110.56

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Solution

The fourth proportional to 254.86, 382.32 and 110.56 is: 165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.86 : 382.32 = 110.56 : x
  2. Step 2: Convert to fraction form
    254.86/382.32 = 110.56/x
  3. Step 3: Cross multiply
    254.86x = 382.32 × 110.56
  4. Step 4: Simplify right side
    254.86x = 42,269.30
  5. Step 5: Solve for x
    x = 42,269.30/254.86
  6. Step 6: Final answer
    x = 165.85

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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.