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Finding the Fourth Proportional to 300.79, 451.23 and 138.49

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Solution

The fourth proportional to 300.79, 451.23 and 138.49 is: 207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.79 : 451.23 = 138.49 : x
  2. Step 2: Convert to fraction form
    300.79/451.23 = 138.49/x
  3. Step 3: Cross multiply
    300.79x = 451.23 × 138.49
  4. Step 4: Simplify right side
    300.79x = 62,490.84
  5. Step 5: Solve for x
    x = 62,490.84/300.79
  6. Step 6: Final answer
    x = 207.76

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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.