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Finding the Fourth Proportional to 194.29, 268.06 and 132.02

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Solution

The fourth proportional to 194.29, 268.06 and 132.02 is: 182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.29 : 268.06 = 132.02 : x
  2. Step 2: Convert to fraction form
    194.29/268.06 = 132.02/x
  3. Step 3: Cross multiply
    194.29x = 268.06 × 132.02
  4. Step 4: Simplify right side
    194.29x = 35,387.61
  5. Step 5: Solve for x
    x = 35,387.61/194.29
  6. Step 6: Final answer
    x = 182.14

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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.