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Finding the Fourth Proportional to 375.50, 563.56 and 202.30

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Solution

The fourth proportional to 375.50, 563.56 and 202.30 is: 303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.50 : 563.56 = 202.30 : x
  2. Step 2: Convert to fraction form
    375.50/563.56 = 202.30/x
  3. Step 3: Cross multiply
    375.50x = 563.56 × 202.30
  4. Step 4: Simplify right side
    375.50x = 114,008.19
  5. Step 5: Solve for x
    x = 114,008.19/375.50
  6. Step 6: Final answer
    x = 303.62

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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.