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Finding the Fourth Proportional to 375.78, 563.74 and 132.46

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Solution

The fourth proportional to 375.78, 563.74 and 132.46 is: 198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.78 : 563.74 = 132.46 : x
  2. Step 2: Convert to fraction form
    375.78/563.74 = 132.46/x
  3. Step 3: Cross multiply
    375.78x = 563.74 × 132.46
  4. Step 4: Simplify right side
    375.78x = 74,673.00
  5. Step 5: Solve for x
    x = 74,673.00/375.78
  6. Step 6: Final answer
    x = 198.71

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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.