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Finding the Fourth Proportional to 451.74, 677.61 and 177.76

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Solution

The fourth proportional to 451.74, 677.61 and 177.76 is: 266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.74 : 677.61 = 177.76 : x
  2. Step 2: Convert to fraction form
    451.74/677.61 = 177.76/x
  3. Step 3: Cross multiply
    451.74x = 677.61 × 177.76
  4. Step 4: Simplify right side
    451.74x = 120,450.26
  5. Step 5: Solve for x
    x = 120,450.26/451.74
  6. Step 6: Final answer
    x = 266.64

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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.