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Finding the Fourth Proportional to 338.24, 507.48 and 201.20

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Solution

The fourth proportional to 338.24, 507.48 and 201.20 is: 301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.24 : 507.48 = 201.20 : x
  2. Step 2: Convert to fraction form
    338.24/507.48 = 201.20/x
  3. Step 3: Cross multiply
    338.24x = 507.48 × 201.20
  4. Step 4: Simplify right side
    338.24x = 102,104.98
  5. Step 5: Solve for x
    x = 102,104.98/338.24
  6. Step 6: Final answer
    x = 301.87

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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.