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Finding the Fourth Proportional to 254, 380.96 and 163.32

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Solution

The fourth proportional to 254, 380.96 and 163.32 is: 244.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    254 : 380.96 = 163.32 : x
  2. Step 2: Convert to fraction form
    254/380.96 = 163.32/x
  3. Step 3: Cross multiply
    254x = 380.96 × 163.32
  4. Step 4: Simplify right side
    254x = 62,218.39
  5. Step 5: Solve for x
    x = 62,218.39/254
  6. Step 6: Final answer
    x = 244.95

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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.