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Finding the Fourth Proportional to 338.12, 508.13 and 201.19

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Solution

The fourth proportional to 338.12, 508.13 and 201.19 is: 302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.12 : 508.13 = 201.19 : x
  2. Step 2: Convert to fraction form
    338.12/508.13 = 201.19/x
  3. Step 3: Cross multiply
    338.12x = 508.13 × 201.19
  4. Step 4: Simplify right side
    338.12x = 102,230.67
  5. Step 5: Solve for x
    x = 102,230.67/338.12
  6. Step 6: Final answer
    x = 302.35

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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.