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Finding the Fourth Proportional to 273.29, 377.26 and 180.16

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Solution

The fourth proportional to 273.29, 377.26 and 180.16 is: 248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.29 : 377.26 = 180.16 : x
  2. Step 2: Convert to fraction form
    273.29/377.26 = 180.16/x
  3. Step 3: Cross multiply
    273.29x = 377.26 × 180.16
  4. Step 4: Simplify right side
    273.29x = 67,965.77
  5. Step 5: Solve for x
    x = 67,965.77/273.29
  6. Step 6: Final answer
    x = 248.70

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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.