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Finding the Fourth Proportional to 376.24, 564.38 and 119.76

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Solution

The fourth proportional to 376.24, 564.38 and 119.76 is: 179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.24 : 564.38 = 119.76 : x
  2. Step 2: Convert to fraction form
    376.24/564.38 = 119.76/x
  3. Step 3: Cross multiply
    376.24x = 564.38 × 119.76
  4. Step 4: Simplify right side
    376.24x = 67,590.15
  5. Step 5: Solve for x
    x = 67,590.15/376.24
  6. Step 6: Final answer
    x = 179.65

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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.