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Finding the Fourth Proportional to 132.28, 198.44 and 120.22

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Solution

The fourth proportional to 132.28, 198.44 and 120.22 is: 180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.28 : 198.44 = 120.22 : x
  2. Step 2: Convert to fraction form
    132.28/198.44 = 120.22/x
  3. Step 3: Cross multiply
    132.28x = 198.44 × 120.22
  4. Step 4: Simplify right side
    132.28x = 23,856.46
  5. Step 5: Solve for x
    x = 23,856.46/132.28
  6. Step 6: Final answer
    x = 180.35

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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.