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Finding the Fourth Proportional to 376.14, 563.53 and 202.62

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Solution

The fourth proportional to 376.14, 563.53 and 202.62 is: 303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.14 : 563.53 = 202.62 : x
  2. Step 2: Convert to fraction form
    376.14/563.53 = 202.62/x
  3. Step 3: Cross multiply
    376.14x = 563.53 × 202.62
  4. Step 4: Simplify right side
    376.14x = 114,182.45
  5. Step 5: Solve for x
    x = 114,182.45/376.14
  6. Step 6: Final answer
    x = 303.56

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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.