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Finding the Fourth Proportional to 375.82, 563.46 and 170.28

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Solution

The fourth proportional to 375.82, 563.46 and 170.28 is: 255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.82 : 563.46 = 170.28 : x
  2. Step 2: Convert to fraction form
    375.82/563.46 = 170.28/x
  3. Step 3: Cross multiply
    375.82x = 563.46 × 170.28
  4. Step 4: Simplify right side
    375.82x = 95,947.38
  5. Step 5: Solve for x
    x = 95,947.38/375.82
  6. Step 6: Final answer
    x = 255.30

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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.