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Finding the Fourth Proportional to 375.46, 563.03 and 131.95

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Solution

The fourth proportional to 375.46, 563.03 and 131.95 is: 197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.46 : 563.03 = 131.95 : x
  2. Step 2: Convert to fraction form
    375.46/563.03 = 131.95/x
  3. Step 3: Cross multiply
    375.46x = 563.03 × 131.95
  4. Step 4: Simplify right side
    375.46x = 74,291.81
  5. Step 5: Solve for x
    x = 74,291.81/375.46
  6. Step 6: Final answer
    x = 197.87

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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.