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Finding the Fourth Proportional to 375.75, 563.67 and 193.05

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Solution

The fourth proportional to 375.75, 563.67 and 193.05 is: 289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.75 : 563.67 = 193.05 : x
  2. Step 2: Convert to fraction form
    375.75/563.67 = 193.05/x
  3. Step 3: Cross multiply
    375.75x = 563.67 × 193.05
  4. Step 4: Simplify right side
    375.75x = 108,816.49
  5. Step 5: Solve for x
    x = 108,816.49/375.75
  6. Step 6: Final answer
    x = 289.60

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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.