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Finding the Fourth Proportional to 451.80, 677.36 and 177.91

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Solution

The fourth proportional to 451.80, 677.36 and 177.91 is: 266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.80 : 677.36 = 177.91 : x
  2. Step 2: Convert to fraction form
    451.80/677.36 = 177.91/x
  3. Step 3: Cross multiply
    451.80x = 677.36 × 177.91
  4. Step 4: Simplify right side
    451.80x = 120,507.87
  5. Step 5: Solve for x
    x = 120,507.87/451.80
  6. Step 6: Final answer
    x = 266.73

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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.