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Finding the Fourth Proportional to 376.29, 564.54 and 193.80

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Solution

The fourth proportional to 376.29, 564.54 and 193.80 is: 290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.29 : 564.54 = 193.80 : x
  2. Step 2: Convert to fraction form
    376.29/564.54 = 193.80/x
  3. Step 3: Cross multiply
    376.29x = 564.54 × 193.80
  4. Step 4: Simplify right side
    376.29x = 109,407.85
  5. Step 5: Solve for x
    x = 109,407.85/376.29
  6. Step 6: Final answer
    x = 290.75

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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.