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Finding the Fourth Proportional to 439.02, 658.19 and 164.96

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Solution

The fourth proportional to 439.02, 658.19 and 164.96 is: 247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.02 : 658.19 = 164.96 : x
  2. Step 2: Convert to fraction form
    439.02/658.19 = 164.96/x
  3. Step 3: Cross multiply
    439.02x = 658.19 × 164.96
  4. Step 4: Simplify right side
    439.02x = 108,577.08
  5. Step 5: Solve for x
    x = 108,577.08/439.02
  6. Step 6: Final answer
    x = 247.32

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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.