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Finding the Fourth Proportional to 338.10, 506.72 and 132.44

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Solution

The fourth proportional to 338.10, 506.72 and 132.44 is: 198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.10 : 506.72 = 132.44 : x
  2. Step 2: Convert to fraction form
    338.10/506.72 = 132.44/x
  3. Step 3: Cross multiply
    338.10x = 506.72 × 132.44
  4. Step 4: Simplify right side
    338.10x = 67,110.00
  5. Step 5: Solve for x
    x = 67,110.00/338.10
  6. Step 6: Final answer
    x = 198.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.