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Finding the Fourth Proportional to 255.10, 382.70 and 110.82

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Solution

The fourth proportional to 255.10, 382.70 and 110.82 is: 166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.10 : 382.70 = 110.82 : x
  2. Step 2: Convert to fraction form
    255.10/382.70 = 110.82/x
  3. Step 3: Cross multiply
    255.10x = 382.70 × 110.82
  4. Step 4: Simplify right side
    255.10x = 42,408.35
  5. Step 5: Solve for x
    x = 42,408.35/255.10
  6. Step 6: Final answer
    x = 166.24

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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.