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Finding the Fourth Proportional to 451.38, 677.01 and 122.34

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Solution

The fourth proportional to 451.38, 677.01 and 122.34 is: 183.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.38 : 677.01 = 122.34 : x
  2. Step 2: Convert to fraction form
    451.38/677.01 = 122.34/x
  3. Step 3: Cross multiply
    451.38x = 677.01 × 122.34
  4. Step 4: Simplify right side
    451.38x = 82,824.94
  5. Step 5: Solve for x
    x = 82,824.94/451.38
  6. Step 6: Final answer
    x = 183.49

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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.