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Finding the Fourth Proportional to 451.75, 677.17 and 177.69

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Solution

The fourth proportional to 451.75, 677.17 and 177.69 is: 266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.75 : 677.17 = 177.69 : x
  2. Step 2: Convert to fraction form
    451.75/677.17 = 177.69/x
  3. Step 3: Cross multiply
    451.75x = 677.17 × 177.69
  4. Step 4: Simplify right side
    451.75x = 120,329.35
  5. Step 5: Solve for x
    x = 120,329.35/451.75
  6. Step 6: Final answer
    x = 266.36

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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.