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Finding the Fourth Proportional to 444.83, 667.16 and 120.17

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Solution

The fourth proportional to 444.83, 667.16 and 120.17 is: 180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.83 : 667.16 = 120.17 : x
  2. Step 2: Convert to fraction form
    444.83/667.16 = 120.17/x
  3. Step 3: Cross multiply
    444.83x = 667.16 × 120.17
  4. Step 4: Simplify right side
    444.83x = 80,172.62
  5. Step 5: Solve for x
    x = 80,172.62/444.83
  6. Step 6: Final answer
    x = 180.23

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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.