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Finding the Fourth Proportional to 451.90, 677.74 and 177.85

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Solution

The fourth proportional to 451.90, 677.74 and 177.85 is: 266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.90 : 677.74 = 177.85 : x
  2. Step 2: Convert to fraction form
    451.90/677.74 = 177.85/x
  3. Step 3: Cross multiply
    451.90x = 677.74 × 177.85
  4. Step 4: Simplify right side
    451.90x = 120,533.48
  5. Step 5: Solve for x
    x = 120,533.48/451.90
  6. Step 6: Final answer
    x = 266.72

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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.