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Finding the Fourth Proportional to 376, 563.82 and 159.46

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Solution

The fourth proportional to 376, 563.82 and 159.46 is: 239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    376 : 563.82 = 159.46 : x
  2. Step 2: Convert to fraction form
    376/563.82 = 159.46/x
  3. Step 3: Cross multiply
    376x = 563.82 × 159.46
  4. Step 4: Simplify right side
    376x = 89,906.74
  5. Step 5: Solve for x
    x = 89,906.74/376
  6. Step 6: Final answer
    x = 239.11

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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.