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Finding the Fourth Proportional to 444.25, 666.29 and 166.57

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Solution

The fourth proportional to 444.25, 666.29 and 166.57 is: 249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.25 : 666.29 = 166.57 : x
  2. Step 2: Convert to fraction form
    444.25/666.29 = 166.57/x
  3. Step 3: Cross multiply
    444.25x = 666.29 × 166.57
  4. Step 4: Simplify right side
    444.25x = 110,983.93
  5. Step 5: Solve for x
    x = 110,983.93/444.25
  6. Step 6: Final answer
    x = 249.82

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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.