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Finding the Fourth Proportional to 375.80, 563.82 and 167.59

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Solution

The fourth proportional to 375.80, 563.82 and 167.59 is: 251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.80 : 563.82 = 167.59 : x
  2. Step 2: Convert to fraction form
    375.80/563.82 = 167.59/x
  3. Step 3: Cross multiply
    375.80x = 563.82 × 167.59
  4. Step 4: Simplify right side
    375.80x = 94,486.94
  5. Step 5: Solve for x
    x = 94,486.94/375.80
  6. Step 6: Final answer
    x = 251.43

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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.