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Finding the Fourth Proportional to 308.49, 462.14 and 171.60

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Solution

The fourth proportional to 308.49, 462.14 and 171.60 is: 257.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.49 : 462.14 = 171.60 : x
  2. Step 2: Convert to fraction form
    308.49/462.14 = 171.60/x
  3. Step 3: Cross multiply
    308.49x = 462.14 × 171.60
  4. Step 4: Simplify right side
    308.49x = 79,302.37
  5. Step 5: Solve for x
    x = 79,302.37/308.49
  6. Step 6: Final answer
    x = 257.07

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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.