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Finding the Fourth Proportional to 445.34, 667.56 and 167.49

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Solution

The fourth proportional to 445.34, 667.56 and 167.49 is: 251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.34 : 667.56 = 167.49 : x
  2. Step 2: Convert to fraction form
    445.34/667.56 = 167.49/x
  3. Step 3: Cross multiply
    445.34x = 667.56 × 167.49
  4. Step 4: Simplify right side
    445.34x = 111,809.62
  5. Step 5: Solve for x
    x = 111,809.62/445.34
  6. Step 6: Final answer
    x = 251.07

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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.