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Finding the Fourth Proportional to 439.91, 659.82 and 166.00

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Solution

The fourth proportional to 439.91, 659.82 and 166.00 is: 248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.91 : 659.82 = 166.00 : x
  2. Step 2: Convert to fraction form
    439.91/659.82 = 166.00/x
  3. Step 3: Cross multiply
    439.91x = 659.82 × 166.00
  4. Step 4: Simplify right side
    439.91x = 109,529.86
  5. Step 5: Solve for x
    x = 109,529.86/439.91
  6. Step 6: Final answer
    x = 248.98

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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.