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Finding the Fourth Proportional to 451.92, 677.91 and 178.02

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Solution

The fourth proportional to 451.92, 677.91 and 178.02 is: 267.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.92 : 677.91 = 178.02 : x
  2. Step 2: Convert to fraction form
    451.92/677.91 = 178.02/x
  3. Step 3: Cross multiply
    451.92x = 677.91 × 178.02
  4. Step 4: Simplify right side
    451.92x = 120,681.54
  5. Step 5: Solve for x
    x = 120,681.54/451.92
  6. Step 6: Final answer
    x = 267.04

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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.