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Finding the Fourth Proportional to 300.76, 451.32 and 138.41

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Solution

The fourth proportional to 300.76, 451.32 and 138.41 is: 207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.76 : 451.32 = 138.41 : x
  2. Step 2: Convert to fraction form
    300.76/451.32 = 138.41/x
  3. Step 3: Cross multiply
    300.76x = 451.32 × 138.41
  4. Step 4: Simplify right side
    300.76x = 62,466.90
  5. Step 5: Solve for x
    x = 62,466.90/300.76
  6. Step 6: Final answer
    x = 207.69

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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.