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Finding the Fourth Proportional to 451.54, 677.41 and 177.56

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Solution

The fourth proportional to 451.54, 677.41 and 177.56 is: 266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.54 : 677.41 = 177.56 : x
  2. Step 2: Convert to fraction form
    451.54/677.41 = 177.56/x
  3. Step 3: Cross multiply
    451.54x = 677.41 × 177.56
  4. Step 4: Simplify right side
    451.54x = 120,277.09
  5. Step 5: Solve for x
    x = 120,277.09/451.54
  6. Step 6: Final answer
    x = 266.37

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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.