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Finding the Fourth Proportional to 182.31, 252.62 and 180.08

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Solution

The fourth proportional to 182.31, 252.62 and 180.08 is: 249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.31 : 252.62 = 180.08 : x
  2. Step 2: Convert to fraction form
    182.31/252.62 = 180.08/x
  3. Step 3: Cross multiply
    182.31x = 252.62 × 180.08
  4. Step 4: Simplify right side
    182.31x = 45,491.81
  5. Step 5: Solve for x
    x = 45,491.81/182.31
  6. Step 6: Final answer
    x = 249.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.