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Finding the Fourth Proportional to 297.67, 447.14 and 182.18

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Solution

The fourth proportional to 297.67, 447.14 and 182.18 is: 273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.67 : 447.14 = 182.18 : x
  2. Step 2: Convert to fraction form
    297.67/447.14 = 182.18/x
  3. Step 3: Cross multiply
    297.67x = 447.14 × 182.18
  4. Step 4: Simplify right side
    297.67x = 81,456.82
  5. Step 5: Solve for x
    x = 81,456.82/297.67
  6. Step 6: Final answer
    x = 273.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.