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Finding the Fourth Proportional to 175.30, 262.61 and 94.03

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Solution

The fourth proportional to 175.30, 262.61 and 94.03 is: 140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.30 : 262.61 = 94.03 : x
  2. Step 2: Convert to fraction form
    175.30/262.61 = 94.03/x
  3. Step 3: Cross multiply
    175.30x = 262.61 × 94.03
  4. Step 4: Simplify right side
    175.30x = 24,692.44
  5. Step 5: Solve for x
    x = 24,692.44/175.30
  6. Step 6: Final answer
    x = 140.86

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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.