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Finding the Fourth Proportional to 133.80, 200.20 and 97.80

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Solution

The fourth proportional to 133.80, 200.20 and 97.80 is: 146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.80 : 200.20 = 97.80 : x
  2. Step 2: Convert to fraction form
    133.80/200.20 = 97.80/x
  3. Step 3: Cross multiply
    133.80x = 200.20 × 97.80
  4. Step 4: Simplify right side
    133.80x = 19,579.56
  5. Step 5: Solve for x
    x = 19,579.56/133.80
  6. Step 6: Final answer
    x = 146.33

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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.