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Finding the Fourth Proportional to 312.09, 468.15 and 106.68

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Solution

The fourth proportional to 312.09, 468.15 and 106.68 is: 160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.09 : 468.15 = 106.68 : x
  2. Step 2: Convert to fraction form
    312.09/468.15 = 106.68/x
  3. Step 3: Cross multiply
    312.09x = 468.15 × 106.68
  4. Step 4: Simplify right side
    312.09x = 49,942.24
  5. Step 5: Solve for x
    x = 49,942.24/312.09
  6. Step 6: Final answer
    x = 160.03

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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.