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Finding the Fourth Proportional to 444.75, 667.16 and 120.13

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Solution

The fourth proportional to 444.75, 667.16 and 120.13 is: 180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.75 : 667.16 = 120.13 : x
  2. Step 2: Convert to fraction form
    444.75/667.16 = 120.13/x
  3. Step 3: Cross multiply
    444.75x = 667.16 × 120.13
  4. Step 4: Simplify right side
    444.75x = 80,145.93
  5. Step 5: Solve for x
    x = 80,145.93/444.75
  6. Step 6: Final answer
    x = 180.20

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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.