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Finding the Fourth Proportional to 376.82, 565.22 and 120.32

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Solution

The fourth proportional to 376.82, 565.22 and 120.32 is: 180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.82 : 565.22 = 120.32 : x
  2. Step 2: Convert to fraction form
    376.82/565.22 = 120.32/x
  3. Step 3: Cross multiply
    376.82x = 565.22 × 120.32
  4. Step 4: Simplify right side
    376.82x = 68,004.44
  5. Step 5: Solve for x
    x = 68,004.44/376.82
  6. Step 6: Final answer
    x = 180.47

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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.