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Finding the Fourth Proportional to 276.76, 381.96 and 178.57

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Solution

The fourth proportional to 276.76, 381.96 and 178.57 is: 246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.76 : 381.96 = 178.57 : x
  2. Step 2: Convert to fraction form
    276.76/381.96 = 178.57/x
  3. Step 3: Cross multiply
    276.76x = 381.96 × 178.57
  4. Step 4: Simplify right side
    276.76x = 68,206.60
  5. Step 5: Solve for x
    x = 68,206.60/276.76
  6. Step 6: Final answer
    x = 246.45

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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.