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Finding the Fourth Proportional to 451.62, 677.67 and 177.71

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Solution

The fourth proportional to 451.62, 677.67 and 177.71 is: 266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.62 : 677.67 = 177.71 : x
  2. Step 2: Convert to fraction form
    451.62/677.67 = 177.71/x
  3. Step 3: Cross multiply
    451.62x = 677.67 × 177.71
  4. Step 4: Simplify right side
    451.62x = 120,424.68
  5. Step 5: Solve for x
    x = 120,424.68/451.62
  6. Step 6: Final answer
    x = 266.65

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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.