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Finding the Fourth Proportional to 308.21, 461.77 and 171.38

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Solution

The fourth proportional to 308.21, 461.77 and 171.38 is: 256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.21 : 461.77 = 171.38 : x
  2. Step 2: Convert to fraction form
    308.21/461.77 = 171.38/x
  3. Step 3: Cross multiply
    308.21x = 461.77 × 171.38
  4. Step 4: Simplify right side
    308.21x = 79,138.87
  5. Step 5: Solve for x
    x = 79,138.87/308.21
  6. Step 6: Final answer
    x = 256.77

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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.