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Finding the Fourth Proportional to 442.82, 664.31 and 169.00

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Solution

The fourth proportional to 442.82, 664.31 and 169.00 is: 253.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.82 : 664.31 = 169.00 : x
  2. Step 2: Convert to fraction form
    442.82/664.31 = 169.00/x
  3. Step 3: Cross multiply
    442.82x = 664.31 × 169.00
  4. Step 4: Simplify right side
    442.82x = 112,267.15
  5. Step 5: Solve for x
    x = 112,267.15/442.82
  6. Step 6: Final answer
    x = 253.53

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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.