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Finding the Fourth Proportional to 338.10, 506.34 and 193.38

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Solution

The fourth proportional to 338.10, 506.34 and 193.38 is: 289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.10 : 506.34 = 193.38 : x
  2. Step 2: Convert to fraction form
    338.10/506.34 = 193.38/x
  3. Step 3: Cross multiply
    338.10x = 506.34 × 193.38
  4. Step 4: Simplify right side
    338.10x = 97,916.03
  5. Step 5: Solve for x
    x = 97,916.03/338.10
  6. Step 6: Final answer
    x = 289.61

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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.