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Finding the Fourth Proportional to 312.04, 468.11 and 106.55

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Solution

The fourth proportional to 312.04, 468.11 and 106.55 is: 159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.04 : 468.11 = 106.55 : x
  2. Step 2: Convert to fraction form
    312.04/468.11 = 106.55/x
  3. Step 3: Cross multiply
    312.04x = 468.11 × 106.55
  4. Step 4: Simplify right side
    312.04x = 49,878.56
  5. Step 5: Solve for x
    x = 49,878.56/312.04
  6. Step 6: Final answer
    x = 159.85

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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.