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Finding the Fourth Proportional to 276.96, 382.24 and 173.60

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Solution

The fourth proportional to 276.96, 382.24 and 173.60 is: 239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.96 : 382.24 = 173.60 : x
  2. Step 2: Convert to fraction form
    276.96/382.24 = 173.60/x
  3. Step 3: Cross multiply
    276.96x = 382.24 × 173.60
  4. Step 4: Simplify right side
    276.96x = 66,356.86
  5. Step 5: Solve for x
    x = 66,356.86/276.96
  6. Step 6: Final answer
    x = 239.59

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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.