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Finding the Fourth Proportional to 312.76, 469.16 and 107.25

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Solution

The fourth proportional to 312.76, 469.16 and 107.25 is: 160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.76 : 469.16 = 107.25 : x
  2. Step 2: Convert to fraction form
    312.76/469.16 = 107.25/x
  3. Step 3: Cross multiply
    312.76x = 469.16 × 107.25
  4. Step 4: Simplify right side
    312.76x = 50,317.41
  5. Step 5: Solve for x
    x = 50,317.41/312.76
  6. Step 6: Final answer
    x = 160.88

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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.