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Finding the Fourth Proportional to 444.15, 666.05 and 166.46

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Solution

The fourth proportional to 444.15, 666.05 and 166.46 is: 249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.15 : 666.05 = 166.46 : x
  2. Step 2: Convert to fraction form
    444.15/666.05 = 166.46/x
  3. Step 3: Cross multiply
    444.15x = 666.05 × 166.46
  4. Step 4: Simplify right side
    444.15x = 110,872.61
  5. Step 5: Solve for x
    x = 110,872.61/444.15
  6. Step 6: Final answer
    x = 249.63

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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.