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Finding the Fourth Proportional to 182.09, 272.15 and 164.67

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Solution

The fourth proportional to 182.09, 272.15 and 164.67 is: 246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.09 : 272.15 = 164.67 : x
  2. Step 2: Convert to fraction form
    182.09/272.15 = 164.67/x
  3. Step 3: Cross multiply
    182.09x = 272.15 × 164.67
  4. Step 4: Simplify right side
    182.09x = 44,814.12
  5. Step 5: Solve for x
    x = 44,814.12/182.09
  6. Step 6: Final answer
    x = 246.12

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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.