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Finding the Fourth Proportional to 254.87, 382.25 and 110.69

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Solution

The fourth proportional to 254.87, 382.25 and 110.69 is: 166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.87 : 382.25 = 110.69 : x
  2. Step 2: Convert to fraction form
    254.87/382.25 = 110.69/x
  3. Step 3: Cross multiply
    254.87x = 382.25 × 110.69
  4. Step 4: Simplify right side
    254.87x = 42,310.70
  5. Step 5: Solve for x
    x = 42,310.70/254.87
  6. Step 6: Final answer
    x = 166.01

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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.