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Finding the Fourth Proportional to 338.30, 508.08 and 201.62

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Solution

The fourth proportional to 338.30, 508.08 and 201.62 is: 302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.30 : 508.08 = 201.62 : x
  2. Step 2: Convert to fraction form
    338.30/508.08 = 201.62/x
  3. Step 3: Cross multiply
    338.30x = 508.08 × 201.62
  4. Step 4: Simplify right side
    338.30x = 102,439.09
  5. Step 5: Solve for x
    x = 102,439.09/338.30
  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.