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Finding the Fourth Proportional to 312.14, 468.24 and 106.76

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Solution

The fourth proportional to 312.14, 468.24 and 106.76 is: 160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.14 : 468.24 = 106.76 : x
  2. Step 2: Convert to fraction form
    312.14/468.24 = 106.76/x
  3. Step 3: Cross multiply
    312.14x = 468.24 × 106.76
  4. Step 4: Simplify right side
    312.14x = 49,989.30
  5. Step 5: Solve for x
    x = 49,989.30/312.14
  6. Step 6: Final answer
    x = 160.15

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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.