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Finding the Fourth Proportional to 451.98, 677.77 and 178.00

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Solution

The fourth proportional to 451.98, 677.77 and 178.00 is: 266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.98 : 677.77 = 178.00 : x
  2. Step 2: Convert to fraction form
    451.98/677.77 = 178.00/x
  3. Step 3: Cross multiply
    451.98x = 677.77 × 178.00
  4. Step 4: Simplify right side
    451.98x = 120,640.92
  5. Step 5: Solve for x
    x = 120,640.92/451.98
  6. Step 6: Final answer
    x = 266.92

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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.