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Finding the Fourth Proportional to 439.32, 659.10 and 165.36

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Solution

The fourth proportional to 439.32, 659.10 and 165.36 is: 248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.32 : 659.10 = 165.36 : x
  2. Step 2: Convert to fraction form
    439.32/659.10 = 165.36/x
  3. Step 3: Cross multiply
    439.32x = 659.10 × 165.36
  4. Step 4: Simplify right side
    439.32x = 108,988.78
  5. Step 5: Solve for x
    x = 108,988.78/439.32
  6. Step 6: Final answer
    x = 248.09

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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.