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Finding the Fourth Proportional to 312.81, 431.67 and 172.94

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Solution

The fourth proportional to 312.81, 431.67 and 172.94 is: 238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.81 : 431.67 = 172.94 : x
  2. Step 2: Convert to fraction form
    312.81/431.67 = 172.94/x
  3. Step 3: Cross multiply
    312.81x = 431.67 × 172.94
  4. Step 4: Simplify right side
    312.81x = 74,650.85
  5. Step 5: Solve for x
    x = 74,650.85/312.81
  6. Step 6: Final answer
    x = 238.65

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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.