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Finding the Fourth Proportional to 439.96, 660.27 and 166.30

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Solution

The fourth proportional to 439.96, 660.27 and 166.30 is: 249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.96 : 660.27 = 166.30 : x
  2. Step 2: Convert to fraction form
    439.96/660.27 = 166.30/x
  3. Step 3: Cross multiply
    439.96x = 660.27 × 166.30
  4. Step 4: Simplify right side
    439.96x = 109,802.90
  5. Step 5: Solve for x
    x = 109,802.90/439.96
  6. Step 6: Final answer
    x = 249.57

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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.