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Finding the Fourth Proportional to 442.50, 664.09 and 168.78

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Solution

The fourth proportional to 442.50, 664.09 and 168.78 is: 253.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.50 : 664.09 = 168.78 : x
  2. Step 2: Convert to fraction form
    442.50/664.09 = 168.78/x
  3. Step 3: Cross multiply
    442.50x = 664.09 × 168.78
  4. Step 4: Simplify right side
    442.50x = 112,085.11
  5. Step 5: Solve for x
    x = 112,085.11/442.50
  6. Step 6: Final answer
    x = 253.30

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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.