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Finding the Fourth Proportional to 439.85, 659.78 and 165.88

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Solution

The fourth proportional to 439.85, 659.78 and 165.88 is: 248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.85 : 659.78 = 165.88 : x
  2. Step 2: Convert to fraction form
    439.85/659.78 = 165.88/x
  3. Step 3: Cross multiply
    439.85x = 659.78 × 165.88
  4. Step 4: Simplify right side
    439.85x = 109,444.92
  5. Step 5: Solve for x
    x = 109,444.92/439.85
  6. Step 6: Final answer
    x = 248.83

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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.