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Finding the Fourth Proportional to 273.61, 377.48 and 180.40

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Solution

The fourth proportional to 273.61, 377.48 and 180.40 is: 248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.61 : 377.48 = 180.40 : x
  2. Step 2: Convert to fraction form
    273.61/377.48 = 180.40/x
  3. Step 3: Cross multiply
    273.61x = 377.48 × 180.40
  4. Step 4: Simplify right side
    273.61x = 68,097.39
  5. Step 5: Solve for x
    x = 68,097.39/273.61
  6. Step 6: Final answer
    x = 248.88

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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.