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Finding the Fourth Proportional to 276.16, 381.11 and 151.83

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Solution

The fourth proportional to 276.16, 381.11 and 151.83 is: 209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.16 : 381.11 = 151.83 : x
  2. Step 2: Convert to fraction form
    276.16/381.11 = 151.83/x
  3. Step 3: Cross multiply
    276.16x = 381.11 × 151.83
  4. Step 4: Simplify right side
    276.16x = 57,862.46
  5. Step 5: Solve for x
    x = 57,862.46/276.16
  6. Step 6: Final answer
    x = 209.53

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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.