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Finding the Fourth Proportional to 376.84, 564.81 and 194.14

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Solution

The fourth proportional to 376.84, 564.81 and 194.14 is: 290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.84 : 564.81 = 194.14 : x
  2. Step 2: Convert to fraction form
    376.84/564.81 = 194.14/x
  3. Step 3: Cross multiply
    376.84x = 564.81 × 194.14
  4. Step 4: Simplify right side
    376.84x = 109,650.62
  5. Step 5: Solve for x
    x = 109,650.62/376.84
  6. Step 6: Final answer
    x = 290.97

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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.