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Finding the Fourth Proportional to 255.10, 382.26 and 110.80

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Solution

The fourth proportional to 255.10, 382.26 and 110.80 is: 166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.10 : 382.26 = 110.80 : x
  2. Step 2: Convert to fraction form
    255.10/382.26 = 110.80/x
  3. Step 3: Cross multiply
    255.10x = 382.26 × 110.80
  4. Step 4: Simplify right side
    255.10x = 42,354.41
  5. Step 5: Solve for x
    x = 42,354.41/255.10
  6. Step 6: Final answer
    x = 166.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.