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Finding the Fourth Proportional to 182.18, 272.84 and 136.44

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Solution

The fourth proportional to 182.18, 272.84 and 136.44 is: 204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.18 : 272.84 = 136.44 : x
  2. Step 2: Convert to fraction form
    182.18/272.84 = 136.44/x
  3. Step 3: Cross multiply
    182.18x = 272.84 × 136.44
  4. Step 4: Simplify right side
    182.18x = 37,226.29
  5. Step 5: Solve for x
    x = 37,226.29/182.18
  6. Step 6: Final answer
    x = 204.34

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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.