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Finding the Fourth Proportional to 338.09, 507.84 and 201.11

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Solution

The fourth proportional to 338.09, 507.84 and 201.11 is: 302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.09 : 507.84 = 201.11 : x
  2. Step 2: Convert to fraction form
    338.09/507.84 = 201.11/x
  3. Step 3: Cross multiply
    338.09x = 507.84 × 201.11
  4. Step 4: Simplify right side
    338.09x = 102,129.16
  5. Step 5: Solve for x
    x = 102,129.16/338.09
  6. Step 6: Final answer
    x = 302.08

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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.