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Finding the Fourth Proportional to 439.97, 659.68 and 165.98

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Solution

The fourth proportional to 439.97, 659.68 and 165.98 is: 248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.97 : 659.68 = 165.98 : x
  2. Step 2: Convert to fraction form
    439.97/659.68 = 165.98/x
  3. Step 3: Cross multiply
    439.97x = 659.68 × 165.98
  4. Step 4: Simplify right side
    439.97x = 109,494.92
  5. Step 5: Solve for x
    x = 109,494.92/439.97
  6. Step 6: Final answer
    x = 248.87

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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.