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Finding the Fourth Proportional to 308.06, 462.12 and 125.44

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Solution

The fourth proportional to 308.06, 462.12 and 125.44 is: 188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.06 : 462.12 = 125.44 : x
  2. Step 2: Convert to fraction form
    308.06/462.12 = 125.44/x
  3. Step 3: Cross multiply
    308.06x = 462.12 × 125.44
  4. Step 4: Simplify right side
    308.06x = 57,968.33
  5. Step 5: Solve for x
    x = 57,968.33/308.06
  6. Step 6: Final answer
    x = 188.17

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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.