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Finding the Fourth Proportional to 200.54, 276.54 and 163.58

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Solution

The fourth proportional to 200.54, 276.54 and 163.58 is: 225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.54 : 276.54 = 163.58 : x
  2. Step 2: Convert to fraction form
    200.54/276.54 = 163.58/x
  3. Step 3: Cross multiply
    200.54x = 276.54 × 163.58
  4. Step 4: Simplify right side
    200.54x = 45,236.41
  5. Step 5: Solve for x
    x = 45,236.41/200.54
  6. Step 6: Final answer
    x = 225.57

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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.