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Finding the Fourth Proportional to 427.46, 641.36 and 167.48

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Solution

The fourth proportional to 427.46, 641.36 and 167.48 is: 251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.46 : 641.36 = 167.48 : x
  2. Step 2: Convert to fraction form
    427.46/641.36 = 167.48/x
  3. Step 3: Cross multiply
    427.46x = 641.36 × 167.48
  4. Step 4: Simplify right side
    427.46x = 107,410.93
  5. Step 5: Solve for x
    x = 107,410.93/427.46
  6. Step 6: Final answer
    x = 251.28

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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.