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Finding the Fourth Proportional to 140.58, 209.44 and 133.70

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Solution

The fourth proportional to 140.58, 209.44 and 133.70 is: 199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.58 : 209.44 = 133.70 : x
  2. Step 2: Convert to fraction form
    140.58/209.44 = 133.70/x
  3. Step 3: Cross multiply
    140.58x = 209.44 × 133.70
  4. Step 4: Simplify right side
    140.58x = 28,002.13
  5. Step 5: Solve for x
    x = 28,002.13/140.58
  6. Step 6: Final answer
    x = 199.19

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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.