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Finding the Fourth Proportional to 312.37, 468.62 and 106.96

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Solution

The fourth proportional to 312.37, 468.62 and 106.96 is: 160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.37 : 468.62 = 106.96 : x
  2. Step 2: Convert to fraction form
    312.37/468.62 = 106.96/x
  3. Step 3: Cross multiply
    312.37x = 468.62 × 106.96
  4. Step 4: Simplify right side
    312.37x = 50,124.49
  5. Step 5: Solve for x
    x = 50,124.49/312.37
  6. Step 6: Final answer
    x = 160.46

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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.