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Finding the Fourth Proportional to 273.70, 377.58 and 180.32

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Solution

The fourth proportional to 273.70, 377.58 and 180.32 is: 248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.70 : 377.58 = 180.32 : x
  2. Step 2: Convert to fraction form
    273.70/377.58 = 180.32/x
  3. Step 3: Cross multiply
    273.70x = 377.58 × 180.32
  4. Step 4: Simplify right side
    273.70x = 68,085.23
  5. Step 5: Solve for x
    x = 68,085.23/273.70
  6. Step 6: Final answer
    x = 248.76

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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.