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Finding the Fourth Proportional to 140.33, 209.07 and 133.45

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Solution

The fourth proportional to 140.33, 209.07 and 133.45 is: 198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.33 : 209.07 = 133.45 : x
  2. Step 2: Convert to fraction form
    140.33/209.07 = 133.45/x
  3. Step 3: Cross multiply
    140.33x = 209.07 × 133.45
  4. Step 4: Simplify right side
    140.33x = 27,899.35
  5. Step 5: Solve for x
    x = 27,899.35/140.33
  6. Step 6: Final answer
    x = 198.81

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