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Finding the Fourth Proportional to 194.45, 268.29 and 132.30

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Solution

The fourth proportional to 194.45, 268.29 and 132.30 is: 182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.45 : 268.29 = 132.30 : x
  2. Step 2: Convert to fraction form
    194.45/268.29 = 132.30/x
  3. Step 3: Cross multiply
    194.45x = 268.29 × 132.30
  4. Step 4: Simplify right side
    194.45x = 35,494.77
  5. Step 5: Solve for x
    x = 35,494.77/194.45
  6. Step 6: Final answer
    x = 182.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.