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Finding the Fourth Proportional to 375.90, 563.97 and 115.92

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Solution

The fourth proportional to 375.90, 563.97 and 115.92 is: 173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.90 : 563.97 = 115.92 : x
  2. Step 2: Convert to fraction form
    375.90/563.97 = 115.92/x
  3. Step 3: Cross multiply
    375.90x = 563.97 × 115.92
  4. Step 4: Simplify right side
    375.90x = 65,375.40
  5. Step 5: Solve for x
    x = 65,375.40/375.90
  6. Step 6: Final answer
    x = 173.92

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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.