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Finding the Fourth Proportional to 200.63, 276.66 and 163.67

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Solution

The fourth proportional to 200.63, 276.66 and 163.67 is: 225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.63 : 276.66 = 163.67 : x
  2. Step 2: Convert to fraction form
    200.63/276.66 = 163.67/x
  3. Step 3: Cross multiply
    200.63x = 276.66 × 163.67
  4. Step 4: Simplify right side
    200.63x = 45,279.56
  5. Step 5: Solve for x
    x = 45,279.56/200.63
  6. Step 6: Final answer
    x = 225.69

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