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Finding the Fourth Proportional to 312.96, 469.39 and 107.54

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Solution

The fourth proportional to 312.96, 469.39 and 107.54 is: 161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.96 : 469.39 = 107.54 : x
  2. Step 2: Convert to fraction form
    312.96/469.39 = 107.54/x
  3. Step 3: Cross multiply
    312.96x = 469.39 × 107.54
  4. Step 4: Simplify right side
    312.96x = 50,475.32
  5. Step 5: Solve for x
    x = 50,475.32/312.96
  6. Step 6: Final answer
    x = 161.28

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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.