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Finding the Fourth Proportional to 338.05, 507.21 and 201.17

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Solution

The fourth proportional to 338.05, 507.21 and 201.17 is: 301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.05 : 507.21 = 201.17 : x
  2. Step 2: Convert to fraction form
    338.05/507.21 = 201.17/x
  3. Step 3: Cross multiply
    338.05x = 507.21 × 201.17
  4. Step 4: Simplify right side
    338.05x = 102,035.44
  5. Step 5: Solve for x
    x = 102,035.44/338.05
  6. Step 6: Final answer
    x = 301.84

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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.