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Finding the Fourth Proportional to 254.88, 382.41 and 163.74

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Solution

The fourth proportional to 254.88, 382.41 and 163.74 is: 245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.88 : 382.41 = 163.74 : x
  2. Step 2: Convert to fraction form
    254.88/382.41 = 163.74/x
  3. Step 3: Cross multiply
    254.88x = 382.41 × 163.74
  4. Step 4: Simplify right side
    254.88x = 62,615.81
  5. Step 5: Solve for x
    x = 62,615.81/254.88
  6. Step 6: Final answer
    x = 245.67

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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.