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Finding the Fourth Proportional to 313.05, 431.97 and 173.14

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Solution

The fourth proportional to 313.05, 431.97 and 173.14 is: 238.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.05 : 431.97 = 173.14 : x
  2. Step 2: Convert to fraction form
    313.05/431.97 = 173.14/x
  3. Step 3: Cross multiply
    313.05x = 431.97 × 173.14
  4. Step 4: Simplify right side
    313.05x = 74,793.29
  5. Step 5: Solve for x
    x = 74,793.29/313.05
  6. Step 6: Final answer
    x = 238.92

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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.