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Finding the Fourth Proportional to 375.08, 563.00 and 201.74

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Solution

The fourth proportional to 375.08, 563.00 and 201.74 is: 302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.08 : 563.00 = 201.74 : x
  2. Step 2: Convert to fraction form
    375.08/563.00 = 201.74/x
  3. Step 3: Cross multiply
    375.08x = 563.00 × 201.74
  4. Step 4: Simplify right side
    375.08x = 113,575.80
  5. Step 5: Solve for x
    x = 113,575.80/375.08
  6. Step 6: Final answer
    x = 302.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.