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Finding the Fourth Proportional to 376.54, 564.30 and 193.48

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Solution

The fourth proportional to 376.54, 564.30 and 193.48 is: 289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.54 : 564.30 = 193.48 : x
  2. Step 2: Convert to fraction form
    376.54/564.30 = 193.48/x
  3. Step 3: Cross multiply
    376.54x = 564.30 × 193.48
  4. Step 4: Simplify right side
    376.54x = 109,179.35
  5. Step 5: Solve for x
    x = 109,179.35/376.54
  6. Step 6: Final answer
    x = 289.96

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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.