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Finding the Fourth Proportional to 182.73, 272.07 and 180.19

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Solution

The fourth proportional to 182.73, 272.07 and 180.19 is: 268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.73 : 272.07 = 180.19 : x
  2. Step 2: Convert to fraction form
    182.73/272.07 = 180.19/x
  3. Step 3: Cross multiply
    182.73x = 272.07 × 180.19
  4. Step 4: Simplify right side
    182.73x = 49,024.29
  5. Step 5: Solve for x
    x = 49,024.29/182.73
  6. Step 6: Final answer
    x = 268.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.