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Finding the Fourth Proportional to 193.75, 290.67 and 139.55

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Solution

The fourth proportional to 193.75, 290.67 and 139.55 is: 209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.75 : 290.67 = 139.55 : x
  2. Step 2: Convert to fraction form
    193.75/290.67 = 139.55/x
  3. Step 3: Cross multiply
    193.75x = 290.67 × 139.55
  4. Step 4: Simplify right side
    193.75x = 40,562.27
  5. Step 5: Solve for x
    x = 40,562.27/193.75
  6. Step 6: Final answer
    x = 209.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.