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Finding the Fourth Proportional to 439.65, 659.52 and 165.74

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Solution

The fourth proportional to 439.65, 659.52 and 165.74 is: 248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.65 : 659.52 = 165.74 : x
  2. Step 2: Convert to fraction form
    439.65/659.52 = 165.74/x
  3. Step 3: Cross multiply
    439.65x = 659.52 × 165.74
  4. Step 4: Simplify right side
    439.65x = 109,305.55
  5. Step 5: Solve for x
    x = 109,305.55/439.65
  6. Step 6: Final answer
    x = 248.62

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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.