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Finding the Fourth Proportional to 276.57, 381.79 and 186.86

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Solution

The fourth proportional to 276.57, 381.79 and 186.86 is: 257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.57 : 381.79 = 186.86 : x
  2. Step 2: Convert to fraction form
    276.57/381.79 = 186.86/x
  3. Step 3: Cross multiply
    276.57x = 381.79 × 186.86
  4. Step 4: Simplify right side
    276.57x = 71,341.77
  5. Step 5: Solve for x
    x = 71,341.77/276.57
  6. Step 6: Final answer
    x = 257.95

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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.