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Finding the Fourth Proportional to 312.91, 431.80 and 173

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Solution

The fourth proportional to 312.91, 431.80 and 173 is: 238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.91 : 431.80 = 173 : x
  2. Step 2: Convert to fraction form
    312.91/431.80 = 173/x
  3. Step 3: Cross multiply
    312.91x = 431.80 × 173
  4. Step 4: Simplify right side
    312.91x = 74,701.40
  5. Step 5: Solve for x
    x = 74,701.40/312.91
  6. Step 6: Final answer
    x = 238.73

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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.