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Finding the Fourth Proportional to 451.42, 677.52 and 177.71

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Solution

The fourth proportional to 451.42, 677.52 and 177.71 is: 266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.42 : 677.52 = 177.71 : x
  2. Step 2: Convert to fraction form
    451.42/677.52 = 177.71/x
  3. Step 3: Cross multiply
    451.42x = 677.52 × 177.71
  4. Step 4: Simplify right side
    451.42x = 120,397.80
  5. Step 5: Solve for x
    x = 120,397.80/451.42
  6. Step 6: Final answer
    x = 266.71

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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.