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Finding the Fourth Proportional to 312.73, 469.11 and 96.31

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Solution

The fourth proportional to 312.73, 469.11 and 96.31 is: 144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.73 : 469.11 = 96.31 : x
  2. Step 2: Convert to fraction form
    312.73/469.11 = 96.31/x
  3. Step 3: Cross multiply
    312.73x = 469.11 × 96.31
  4. Step 4: Simplify right side
    312.73x = 45,180.98
  5. Step 5: Solve for x
    x = 45,180.98/312.73
  6. Step 6: Final answer
    x = 144.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.