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Finding the Fourth Proportional to 375.74, 563.44 and 132.14

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Solution

The fourth proportional to 375.74, 563.44 and 132.14 is: 198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.74 : 563.44 = 132.14 : x
  2. Step 2: Convert to fraction form
    375.74/563.44 = 132.14/x
  3. Step 3: Cross multiply
    375.74x = 563.44 × 132.14
  4. Step 4: Simplify right side
    375.74x = 74,452.96
  5. Step 5: Solve for x
    x = 74,452.96/375.74
  6. Step 6: Final answer
    x = 198.15

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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.