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Finding the Fourth Proportional to 133.42, 198.70 and 132.64

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Solution

The fourth proportional to 133.42, 198.70 and 132.64 is: 197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.42 : 198.70 = 132.64 : x
  2. Step 2: Convert to fraction form
    133.42/198.70 = 132.64/x
  3. Step 3: Cross multiply
    133.42x = 198.70 × 132.64
  4. Step 4: Simplify right side
    133.42x = 26,355.49
  5. Step 5: Solve for x
    x = 26,355.49/133.42
  6. Step 6: Final answer
    x = 197.53

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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.