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Finding the Fourth Proportional to 451.79, 677.85 and 177.73

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Solution

The fourth proportional to 451.79, 677.85 and 177.73 is: 266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.79 : 677.85 = 177.73 : x
  2. Step 2: Convert to fraction form
    451.79/677.85 = 177.73/x
  3. Step 3: Cross multiply
    451.79x = 677.85 × 177.73
  4. Step 4: Simplify right side
    451.79x = 120,474.28
  5. Step 5: Solve for x
    x = 120,474.28/451.79
  6. Step 6: Final answer
    x = 266.66

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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.