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Finding the Fourth Proportional to 254.96, 382.76 and 163.84

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Solution

The fourth proportional to 254.96, 382.76 and 163.84 is: 245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.96 : 382.76 = 163.84 : x
  2. Step 2: Convert to fraction form
    254.96/382.76 = 163.84/x
  3. Step 3: Cross multiply
    254.96x = 382.76 × 163.84
  4. Step 4: Simplify right side
    254.96x = 62,711.40
  5. Step 5: Solve for x
    x = 62,711.40/254.96
  6. Step 6: Final answer
    x = 245.97

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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.