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Finding the Fourth Proportional to 451.33, 677.27 and 177.55

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Solution

The fourth proportional to 451.33, 677.27 and 177.55 is: 266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.33 : 677.27 = 177.55 : x
  2. Step 2: Convert to fraction form
    451.33/677.27 = 177.55/x
  3. Step 3: Cross multiply
    451.33x = 677.27 × 177.55
  4. Step 4: Simplify right side
    451.33x = 120,249.29
  5. Step 5: Solve for x
    x = 120,249.29/451.33
  6. Step 6: Final answer
    x = 266.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.