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Finding the Fourth Proportional to 312.49, 431.23 and 172.62

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Solution

The fourth proportional to 312.49, 431.23 and 172.62 is: 238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.49 : 431.23 = 172.62 : x
  2. Step 2: Convert to fraction form
    312.49/431.23 = 172.62/x
  3. Step 3: Cross multiply
    312.49x = 431.23 × 172.62
  4. Step 4: Simplify right side
    312.49x = 74,438.92
  5. Step 5: Solve for x
    x = 74,438.92/312.49
  6. Step 6: Final answer
    x = 238.21

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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.