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Finding the Fourth Proportional to 308.12, 462.16 and 171.28

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Solution

The fourth proportional to 308.12, 462.16 and 171.28 is: 256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.12 : 462.16 = 171.28 : x
  2. Step 2: Convert to fraction form
    308.12/462.16 = 171.28/x
  3. Step 3: Cross multiply
    308.12x = 462.16 × 171.28
  4. Step 4: Simplify right side
    308.12x = 79,158.59
  5. Step 5: Solve for x
    x = 79,158.59/308.12
  6. Step 6: Final answer
    x = 256.91

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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.