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Finding the Fourth Proportional to 376.14, 564.26 and 159.65

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Solution

The fourth proportional to 376.14, 564.26 and 159.65 is: 239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.14 : 564.26 = 159.65 : x
  2. Step 2: Convert to fraction form
    376.14/564.26 = 159.65/x
  3. Step 3: Cross multiply
    376.14x = 564.26 × 159.65
  4. Step 4: Simplify right side
    376.14x = 90,080.49
  5. Step 5: Solve for x
    x = 90,080.49/376.14
  6. Step 6: Final answer
    x = 239.49

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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.