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Finding the Fourth Proportional to 375.67, 563.43 and 128.88

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Solution

The fourth proportional to 375.67, 563.43 and 128.88 is: 193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.67 : 563.43 = 128.88 : x
  2. Step 2: Convert to fraction form
    375.67/563.43 = 128.88/x
  3. Step 3: Cross multiply
    375.67x = 563.43 × 128.88
  4. Step 4: Simplify right side
    375.67x = 72,614.86
  5. Step 5: Solve for x
    x = 72,614.86/375.67
  6. Step 6: Final answer
    x = 193.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.