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Finding the Fourth Proportional to 276.51, 414.21 and 184.71

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Solution

The fourth proportional to 276.51, 414.21 and 184.71 is: 276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.51 : 414.21 = 184.71 : x
  2. Step 2: Convert to fraction form
    276.51/414.21 = 184.71/x
  3. Step 3: Cross multiply
    276.51x = 414.21 × 184.71
  4. Step 4: Simplify right side
    276.51x = 76,508.73
  5. Step 5: Solve for x
    x = 76,508.73/276.51
  6. Step 6: Final answer
    x = 276.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.