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Finding the Fourth Proportional to 375.54, 563.39 and 132

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Solution

The fourth proportional to 375.54, 563.39 and 132 is: 198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.54 : 563.39 = 132 : x
  2. Step 2: Convert to fraction form
    375.54/563.39 = 132/x
  3. Step 3: Cross multiply
    375.54x = 563.39 × 132
  4. Step 4: Simplify right side
    375.54x = 74,366.82
  5. Step 5: Solve for x
    x = 74,366.82/375.54
  6. Step 6: Final answer
    x = 198.03

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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.