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Finding the Fourth Proportional to 140.91, 208.41 and 140.91

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Solution

The fourth proportional to 140.91, 208.41 and 140.91 is: 208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.91 : 208.41 = 140.91 : x
  2. Step 2: Convert to fraction form
    140.91/208.41 = 140.91/x
  3. Step 3: Cross multiply
    140.91x = 208.41 × 140.91
  4. Step 4: Simplify right side
    140.91x = 29,367.05
  5. Step 5: Solve for x
    x = 29,367.05/140.91
  6. Step 6: Final answer
    x = 208.41

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.