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Finding the Fourth Proportional to 194.50, 290.24 and 168.58

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Solution

The fourth proportional to 194.50, 290.24 and 168.58 is: 251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.50 : 290.24 = 168.58 : x
  2. Step 2: Convert to fraction form
    194.50/290.24 = 168.58/x
  3. Step 3: Cross multiply
    194.50x = 290.24 × 168.58
  4. Step 4: Simplify right side
    194.50x = 48,928.66
  5. Step 5: Solve for x
    x = 48,928.66/194.50
  6. Step 6: Final answer
    x = 251.56

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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.