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Finding the Fourth Proportional to 312.23, 430.89 and 172.34

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Solution

The fourth proportional to 312.23, 430.89 and 172.34 is: 237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.23 : 430.89 = 172.34 : x
  2. Step 2: Convert to fraction form
    312.23/430.89 = 172.34/x
  3. Step 3: Cross multiply
    312.23x = 430.89 × 172.34
  4. Step 4: Simplify right side
    312.23x = 74,257.43
  5. Step 5: Solve for x
    x = 74,257.43/312.23
  6. Step 6: Final answer
    x = 237.83

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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.