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Finding the Fourth Proportional to 451.87, 677.34 and 177.85

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Solution

The fourth proportional to 451.87, 677.34 and 177.85 is: 266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.87 : 677.34 = 177.85 : x
  2. Step 2: Convert to fraction form
    451.87/677.34 = 177.85/x
  3. Step 3: Cross multiply
    451.87x = 677.34 × 177.85
  4. Step 4: Simplify right side
    451.87x = 120,464.92
  5. Step 5: Solve for x
    x = 120,464.92/451.87
  6. Step 6: Final answer
    x = 266.59

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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.