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Finding the Fourth Proportional to 375.63, 563.06 and 132.03

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Solution

The fourth proportional to 375.63, 563.06 and 132.03 is: 197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.63 : 563.06 = 132.03 : x
  2. Step 2: Convert to fraction form
    375.63/563.06 = 132.03/x
  3. Step 3: Cross multiply
    375.63x = 563.06 × 132.03
  4. Step 4: Simplify right side
    375.63x = 74,340.15
  5. Step 5: Solve for x
    x = 74,340.15/375.63
  6. Step 6: Final answer
    x = 197.91

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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.