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Finding the Fourth Proportional to 254.98, 382.44 and 110.68

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Solution

The fourth proportional to 254.98, 382.44 and 110.68 is: 166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.98 : 382.44 = 110.68 : x
  2. Step 2: Convert to fraction form
    254.98/382.44 = 110.68/x
  3. Step 3: Cross multiply
    254.98x = 382.44 × 110.68
  4. Step 4: Simplify right side
    254.98x = 42,328.46
  5. Step 5: Solve for x
    x = 42,328.46/254.98
  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.