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Finding the Fourth Proportional to 312.29, 468.28 and 106.79

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Solution

The fourth proportional to 312.29, 468.28 and 106.79 is: 160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.29 : 468.28 = 106.79 : x
  2. Step 2: Convert to fraction form
    312.29/468.28 = 106.79/x
  3. Step 3: Cross multiply
    312.29x = 468.28 × 106.79
  4. Step 4: Simplify right side
    312.29x = 50,006.57
  5. Step 5: Solve for x
    x = 50,006.57/312.29
  6. Step 6: Final answer
    x = 160.13

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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.