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Finding the Fourth Proportional to 133.21, 198.48 and 118.83

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Solution

The fourth proportional to 133.21, 198.48 and 118.83 is: 177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.21 : 198.48 = 118.83 : x
  2. Step 2: Convert to fraction form
    133.21/198.48 = 118.83/x
  3. Step 3: Cross multiply
    133.21x = 198.48 × 118.83
  4. Step 4: Simplify right side
    133.21x = 23,586.57
  5. Step 5: Solve for x
    x = 23,586.57/133.21
  6. Step 6: Final answer
    x = 177.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.