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Finding the Fourth Proportional to 375.68, 563.17 and 167.34

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Solution

The fourth proportional to 375.68, 563.17 and 167.34 is: 250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.68 : 563.17 = 167.34 : x
  2. Step 2: Convert to fraction form
    375.68/563.17 = 167.34/x
  3. Step 3: Cross multiply
    375.68x = 563.17 × 167.34
  4. Step 4: Simplify right side
    375.68x = 94,239.88
  5. Step 5: Solve for x
    x = 94,239.88/375.68
  6. Step 6: Final answer
    x = 250.85

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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.