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Finding the Fourth Proportional to 306.54, 422.96 and 173.77

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Solution

The fourth proportional to 306.54, 422.96 and 173.77 is: 239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.54 : 422.96 = 173.77 : x
  2. Step 2: Convert to fraction form
    306.54/422.96 = 173.77/x
  3. Step 3: Cross multiply
    306.54x = 422.96 × 173.77
  4. Step 4: Simplify right side
    306.54x = 73,495.83
  5. Step 5: Solve for x
    x = 73,495.83/306.54
  6. Step 6: Final answer
    x = 239.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.