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Finding the Fourth Proportional to 140.08, 208.70 and 133.20

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Solution

The fourth proportional to 140.08, 208.70 and 133.20 is: 198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.08 : 208.70 = 133.20 : x
  2. Step 2: Convert to fraction form
    140.08/208.70 = 133.20/x
  3. Step 3: Cross multiply
    140.08x = 208.70 × 133.20
  4. Step 4: Simplify right side
    140.08x = 27,797.80
  5. Step 5: Solve for x
    x = 27,797.80/140.08
  6. Step 6: Final answer
    x = 198.44

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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.