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Finding the Fourth Proportional to 200.24, 276.09 and 163.28

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Solution

The fourth proportional to 200.24, 276.09 and 163.28 is: 225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.24 : 276.09 = 163.28 : x
  2. Step 2: Convert to fraction form
    200.24/276.09 = 163.28/x
  3. Step 3: Cross multiply
    200.24x = 276.09 × 163.28
  4. Step 4: Simplify right side
    200.24x = 45,078.59
  5. Step 5: Solve for x
    x = 45,078.59/200.24
  6. Step 6: Final answer
    x = 225.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.