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Finding the Fourth Proportional to 375.82, 563.34 and 132.18

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Solution

The fourth proportional to 375.82, 563.34 and 132.18 is: 198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.82 : 563.34 = 132.18 : x
  2. Step 2: Convert to fraction form
    375.82/563.34 = 132.18/x
  3. Step 3: Cross multiply
    375.82x = 563.34 × 132.18
  4. Step 4: Simplify right side
    375.82x = 74,462.28
  5. Step 5: Solve for x
    x = 74,462.28/375.82
  6. Step 6: Final answer
    x = 198.13

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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.