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Finding the Fourth Proportional to 312.52, 468.69 and 107.08

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Solution

The fourth proportional to 312.52, 468.69 and 107.08 is: 160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.52 : 468.69 = 107.08 : x
  2. Step 2: Convert to fraction form
    312.52/468.69 = 107.08/x
  3. Step 3: Cross multiply
    312.52x = 468.69 × 107.08
  4. Step 4: Simplify right side
    312.52x = 50,187.33
  5. Step 5: Solve for x
    x = 50,187.33/312.52
  6. Step 6: Final answer
    x = 160.59

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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.