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Finding the Fourth Proportional to 444.59, 666.44 and 166.74

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Solution

The fourth proportional to 444.59, 666.44 and 166.74 is: 249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.59 : 666.44 = 166.74 : x
  2. Step 2: Convert to fraction form
    444.59/666.44 = 166.74/x
  3. Step 3: Cross multiply
    444.59x = 666.44 × 166.74
  4. Step 4: Simplify right side
    444.59x = 111,118.87
  5. Step 5: Solve for x
    x = 111,118.87/444.59
  6. Step 6: Final answer
    x = 249.94

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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.