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Finding the Fourth Proportional to 312.83, 469.25 and 107.27

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Solution

The fourth proportional to 312.83, 469.25 and 107.27 is: 160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.83 : 469.25 = 107.27 : x
  2. Step 2: Convert to fraction form
    312.83/469.25 = 107.27/x
  3. Step 3: Cross multiply
    312.83x = 469.25 × 107.27
  4. Step 4: Simplify right side
    312.83x = 50,335.91
  5. Step 5: Solve for x
    x = 50,335.91/312.83
  6. Step 6: Final answer
    x = 160.91

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