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Finding the Fourth Proportional to 273.29, 377.10 and 180.18

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Solution

The fourth proportional to 273.29, 377.10 and 180.18 is: 248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.29 : 377.10 = 180.18 : x
  2. Step 2: Convert to fraction form
    273.29/377.10 = 180.18/x
  3. Step 3: Cross multiply
    273.29x = 377.10 × 180.18
  4. Step 4: Simplify right side
    273.29x = 67,945.88
  5. Step 5: Solve for x
    x = 67,945.88/273.29
  6. Step 6: Final answer
    x = 248.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.