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Finding the Fourth Proportional to 375.93, 563.51 and 132.33

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Solution

The fourth proportional to 375.93, 563.51 and 132.33 is: 198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.93 : 563.51 = 132.33 : x
  2. Step 2: Convert to fraction form
    375.93/563.51 = 132.33/x
  3. Step 3: Cross multiply
    375.93x = 563.51 × 132.33
  4. Step 4: Simplify right side
    375.93x = 74,568.62
  5. Step 5: Solve for x
    x = 74,568.62/375.93
  6. Step 6: Final answer
    x = 198.36

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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.