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Finding the Fourth Proportional to 338.03, 506.96 and 155.51

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Solution

The fourth proportional to 338.03, 506.96 and 155.51 is: 233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.03 : 506.96 = 155.51 : x
  2. Step 2: Convert to fraction form
    338.03/506.96 = 155.51/x
  3. Step 3: Cross multiply
    338.03x = 506.96 × 155.51
  4. Step 4: Simplify right side
    338.03x = 78,836.57
  5. Step 5: Solve for x
    x = 78,836.57/338.03
  6. Step 6: Final answer
    x = 233.22

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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.