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Finding the Fourth Proportional to 312.31, 430.98 and 172.44

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Solution

The fourth proportional to 312.31, 430.98 and 172.44 is: 237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.31 : 430.98 = 172.44 : x
  2. Step 2: Convert to fraction form
    312.31/430.98 = 172.44/x
  3. Step 3: Cross multiply
    312.31x = 430.98 × 172.44
  4. Step 4: Simplify right side
    312.31x = 74,318.19
  5. Step 5: Solve for x
    x = 74,318.19/312.31
  6. Step 6: Final answer
    x = 237.96

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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.