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Finding the Fourth Proportional to 375.21, 563.83 and 202.01

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Solution

The fourth proportional to 375.21, 563.83 and 202.01 is: 303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.21 : 563.83 = 202.01 : x
  2. Step 2: Convert to fraction form
    375.21/563.83 = 202.01/x
  3. Step 3: Cross multiply
    375.21x = 563.83 × 202.01
  4. Step 4: Simplify right side
    375.21x = 113,899.30
  5. Step 5: Solve for x
    x = 113,899.30/375.21
  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.