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Finding the Fourth Proportional to 451.61, 677.13 and 177.38

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Solution

The fourth proportional to 451.61, 677.13 and 177.38 is: 265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.61 : 677.13 = 177.38 : x
  2. Step 2: Convert to fraction form
    451.61/677.13 = 177.38/x
  3. Step 3: Cross multiply
    451.61x = 677.13 × 177.38
  4. Step 4: Simplify right side
    451.61x = 120,105.93
  5. Step 5: Solve for x
    x = 120,105.93/451.61
  6. Step 6: Final answer
    x = 265.95

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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.