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Finding the Fourth Proportional to 308.14, 461.69 and 171.32

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Solution

The fourth proportional to 308.14, 461.69 and 171.32 is: 256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.14 : 461.69 = 171.32 : x
  2. Step 2: Convert to fraction form
    308.14/461.69 = 171.32/x
  3. Step 3: Cross multiply
    308.14x = 461.69 × 171.32
  4. Step 4: Simplify right side
    308.14x = 79,096.73
  5. Step 5: Solve for x
    x = 79,096.73/308.14
  6. Step 6: Final answer
    x = 256.69

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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.