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Finding the Fourth Proportional to 312.10, 468.34 and 138.86

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Solution

The fourth proportional to 312.10, 468.34 and 138.86 is: 208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.10 : 468.34 = 138.86 : x
  2. Step 2: Convert to fraction form
    312.10/468.34 = 138.86/x
  3. Step 3: Cross multiply
    312.10x = 468.34 × 138.86
  4. Step 4: Simplify right side
    312.10x = 65,033.69
  5. Step 5: Solve for x
    x = 65,033.69/312.10
  6. Step 6: Final answer
    x = 208.37

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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.