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Finding the Fourth Proportional to 444.82, 667.41 and 184.87

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Solution

The fourth proportional to 444.82, 667.41 and 184.87 is: 277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.82 : 667.41 = 184.87 : x
  2. Step 2: Convert to fraction form
    444.82/667.41 = 184.87/x
  3. Step 3: Cross multiply
    444.82x = 667.41 × 184.87
  4. Step 4: Simplify right side
    444.82x = 123,382.42
  5. Step 5: Solve for x
    x = 123,382.42/444.82
  6. Step 6: Final answer
    x = 277.38

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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.