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Finding the Fourth Proportional to 338.06, 506.94 and 106.89

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Solution

The fourth proportional to 338.06, 506.94 and 106.89 is: 160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.06 : 506.94 = 106.89 : x
  2. Step 2: Convert to fraction form
    338.06/506.94 = 106.89/x
  3. Step 3: Cross multiply
    338.06x = 506.94 × 106.89
  4. Step 4: Simplify right side
    338.06x = 54,186.82
  5. Step 5: Solve for x
    x = 54,186.82/338.06
  6. Step 6: Final answer
    x = 160.29

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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.