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Finding the Fourth Proportional to 312.10, 468.21 and 106.69

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Solution

The fourth proportional to 312.10, 468.21 and 106.69 is: 160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.10 : 468.21 = 106.69 : x
  2. Step 2: Convert to fraction form
    312.10/468.21 = 106.69/x
  3. Step 3: Cross multiply
    312.10x = 468.21 × 106.69
  4. Step 4: Simplify right side
    312.10x = 49,953.32
  5. Step 5: Solve for x
    x = 49,953.32/312.10
  6. Step 6: Final answer
    x = 160.06

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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.