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Finding the Fourth Proportional to 140.80, 209.63 and 140.80

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Solution

The fourth proportional to 140.80, 209.63 and 140.80 is: 209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.80 : 209.63 = 140.80 : x
  2. Step 2: Convert to fraction form
    140.80/209.63 = 140.80/x
  3. Step 3: Cross multiply
    140.80x = 209.63 × 140.80
  4. Step 4: Simplify right side
    140.80x = 29,515.90
  5. Step 5: Solve for x
    x = 29,515.90/140.80
  6. Step 6: Final answer
    x = 209.63

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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.