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Finding the Fourth Proportional to 182.01, 250.63 and 164.65

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Solution

The fourth proportional to 182.01, 250.63 and 164.65 is: 226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.01 : 250.63 = 164.65 : x
  2. Step 2: Convert to fraction form
    182.01/250.63 = 164.65/x
  3. Step 3: Cross multiply
    182.01x = 250.63 × 164.65
  4. Step 4: Simplify right side
    182.01x = 41,264.15
  5. Step 5: Solve for x
    x = 41,264.15/182.01
  6. Step 6: Final answer
    x = 226.71

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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.