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Finding the Fourth Proportional to 376.28, 564.42 and 159.80

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Solution

The fourth proportional to 376.28, 564.42 and 159.80 is: 239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.28 : 564.42 = 159.80 : x
  2. Step 2: Convert to fraction form
    376.28/564.42 = 159.80/x
  3. Step 3: Cross multiply
    376.28x = 564.42 × 159.80
  4. Step 4: Simplify right side
    376.28x = 90,194.32
  5. Step 5: Solve for x
    x = 90,194.32/376.28
  6. Step 6: Final answer
    x = 239.70

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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.