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Finding the Fourth Proportional to 276.11, 381.05 and 151.78

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Solution

The fourth proportional to 276.11, 381.05 and 151.78 is: 209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.11 : 381.05 = 151.78 : x
  2. Step 2: Convert to fraction form
    276.11/381.05 = 151.78/x
  3. Step 3: Cross multiply
    276.11x = 381.05 × 151.78
  4. Step 4: Simplify right side
    276.11x = 57,835.77
  5. Step 5: Solve for x
    x = 57,835.77/276.11
  6. Step 6: Final answer
    x = 209.47

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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.