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Finding the Fourth Proportional to 444.54, 667.03 and 180.98

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Solution

The fourth proportional to 444.54, 667.03 and 180.98 is: 271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.54 : 667.03 = 180.98 : x
  2. Step 2: Convert to fraction form
    444.54/667.03 = 180.98/x
  3. Step 3: Cross multiply
    444.54x = 667.03 × 180.98
  4. Step 4: Simplify right side
    444.54x = 120,719.09
  5. Step 5: Solve for x
    x = 120,719.09/444.54
  6. Step 6: Final answer
    x = 271.56

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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.