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Finding the Fourth Proportional to 276.84, 381.86 and 189.56

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Solution

The fourth proportional to 276.84, 381.86 and 189.56 is: 261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.84 : 381.86 = 189.56 : x
  2. Step 2: Convert to fraction form
    276.84/381.86 = 189.56/x
  3. Step 3: Cross multiply
    276.84x = 381.86 × 189.56
  4. Step 4: Simplify right side
    276.84x = 72,385.38
  5. Step 5: Solve for x
    x = 72,385.38/276.84
  6. Step 6: Final answer
    x = 261.47

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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.