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Finding the Fourth Proportional to 308.24, 462.57 and 171.20

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Solution

The fourth proportional to 308.24, 462.57 and 171.20 is: 256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.24 : 462.57 = 171.20 : x
  2. Step 2: Convert to fraction form
    308.24/462.57 = 171.20/x
  3. Step 3: Cross multiply
    308.24x = 462.57 × 171.20
  4. Step 4: Simplify right side
    308.24x = 79,191.98
  5. Step 5: Solve for x
    x = 79,191.98/308.24
  6. Step 6: Final answer
    x = 256.92

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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.