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Finding the Fourth Proportional to 376.75, 564.10 and 193.78

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Solution

The fourth proportional to 376.75, 564.10 and 193.78 is: 290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.75 : 564.10 = 193.78 : x
  2. Step 2: Convert to fraction form
    376.75/564.10 = 193.78/x
  3. Step 3: Cross multiply
    376.75x = 564.10 × 193.78
  4. Step 4: Simplify right side
    376.75x = 109,311.30
  5. Step 5: Solve for x
    x = 109,311.30/376.75
  6. Step 6: Final answer
    x = 290.14

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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.