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Finding the Fourth Proportional to 312.21, 467.64 and 167.63

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Solution

The fourth proportional to 312.21, 467.64 and 167.63 is: 251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.21 : 467.64 = 167.63 : x
  2. Step 2: Convert to fraction form
    312.21/467.64 = 167.63/x
  3. Step 3: Cross multiply
    312.21x = 467.64 × 167.63
  4. Step 4: Simplify right side
    312.21x = 78,388.16
  5. Step 5: Solve for x
    x = 78,388.16/312.21
  6. Step 6: Final answer
    x = 251.08

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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.