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Finding the Fourth Proportional to 375.31, 563.22 and 131.84

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Solution

The fourth proportional to 375.31, 563.22 and 131.84 is: 197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.31 : 563.22 = 131.84 : x
  2. Step 2: Convert to fraction form
    375.31/563.22 = 131.84/x
  3. Step 3: Cross multiply
    375.31x = 563.22 × 131.84
  4. Step 4: Simplify right side
    375.31x = 74,254.92
  5. Step 5: Solve for x
    x = 74,254.92/375.31
  6. Step 6: Final answer
    x = 197.85

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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.