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Finding the Fourth Proportional to 273.71, 377.34 and 180.29

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Solution

The fourth proportional to 273.71, 377.34 and 180.29 is: 248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.71 : 377.34 = 180.29 : x
  2. Step 2: Convert to fraction form
    273.71/377.34 = 180.29/x
  3. Step 3: Cross multiply
    273.71x = 377.34 × 180.29
  4. Step 4: Simplify right side
    273.71x = 68,030.63
  5. Step 5: Solve for x
    x = 68,030.63/273.71
  6. Step 6: Final answer
    x = 248.55

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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.